3
Higher structures in homotopy theory
http://sms.cam.ac.uk/collection/2781281
Workshop
2nd July 2018 to 6th July 2018
Organisers:
Stefan Schwede Rheinische FriedrichWilhelmsUniversität Bonn
Clark Barwick University of Edinburgh
Julie Bergner University of Virginia
Ieke Moerdijk Universiteit Utrecht
Workshop Theme
Homotopy theory has covered a long distance since its origins, the classification of spaces up to homotopy equivalence. Over the years, various kinds of mathematical structures have been investigated from a homotopical perspective, such as equivariant spaces, rings, C^*algebras, or varieties. Many different approaches of how to formalize what a “homotopy theory” is were proposed, the most prominent ones being the notions of model category and ∞category.
The relationship between the different ways to formalize a homotopy theory is now well understood; indeed, for comparing different concepts of homotopy theories, one often wants to consider all of them together as another homotopy theory, i.e., a ‘homotopy theory of homotopy theories’. Somewhat surprisingly, most of the concepts organize themselves into a Quillen model category, and the various approaches are Quillen equivalent. After these individual comparison results, Töen was even able to axiomatically characterize a homotopy theory of homotopy theories.
The homotopy theory of homotopy theories is only the first step in a hierarchy of interesting structures, namely the homotopy theoretic approach to higher categories. From this broader perspective, homotopy theories are just (∞, 1)categories, where the ∞ indatices a structure with higher morphisms of all levels, and the 1 refers to the fact that all 1morphisms and higher morphisms are weakly invertible. There are now ways to give rigorous meaning to the notion of (∞, n)categories i.e., where only higher morphisms in level n and above are invertible. Having a rigorous model category of (∞,n)categories is a cornerstone for the modern approach to topological field theory, thereby unifying categorical considerations with those of homotopy and manifold theory.
This workshop consists of lecture series as well as individual research talks. The introductory series will explain some of the key methods relevant to many parts of the overarching program; they are intended to invite graduate students and postdocs into the field, as well as to strengthen the common ground of the program participants. The individual talks will inform us about recent developments about higher structures in homotopy theory.
1440
2018
Wed, 19 Dec 2018 14:44:29 +0000
Tue, 03 Jul 2018 11:16:53 +0100
en
smssupport@ucs.cam.ac.uk
Higher structures in homotopy theory
http://sms.cam.ac.uk/collection/2781281
http://rss.sms.cam.ac.uk/itunesimage/2838027.jpg
http://video.search.yahoo.com/mrss
Higher structures in homotopy theory
Workshop
2nd July 2018 to 6th July 2018
Organisers:
Stefan Schwede Rheinische FriedrichWilhelmsUniversität Bonn
Clark Barwick University of Edinburgh
Julie Bergner University of Virginia
Ieke Moerdijk Universiteit Utrecht
Workshop Theme
Homotopy theory has covered a long distance since its origins, the classification of spaces up to homotopy equivalence. Over the years, various kinds of mathematical structures have been investigated from a homotopical perspective, such as equivariant spaces, rings, C^*algebras, or varieties. Many different approaches of how to formalize what a “homotopy theory” is were proposed, the most prominent ones being the notions of model category and ∞category.
The relationship between the different ways to formalize a homotopy theory is now well understood; indeed, for comparing different concepts of homotopy theories, one often wants to consider all of them together as another homotopy theory, i.e., a ‘homotopy theory of homotopy theories’. Somewhat surprisingly, most of the concepts organize themselves into a Quillen model category, and the various approaches are Quillen equivalent. After these individual comparison results, Töen was even able to axiomatically characterize a homotopy theory of homotopy theories.
The homotopy theory of homotopy theories is only the first step in a hierarchy of interesting structures, namely the homotopy theoretic approach to higher categories. From this broader perspective, homotopy theories are just (∞, 1)categories, where the ∞ indatices a structure with higher morphisms of all levels, and the 1 refers to the fact that all 1morphisms and higher morphisms are weakly invertible. There are now ways to give rigorous meaning to the notion of (∞, n)categories i.e., where only higher morphisms in level n and above are invertible. Having a rigorous model category of (∞,n)categories is a cornerstone for the modern approach to topological field theory, thereby unifying categorical considerations with those of homotopy and manifold theory.
This workshop consists of lecture series as well as individual research talks. The introductory series will explain some of the key methods relevant to many parts of the overarching program; they are intended to invite graduate students and postdocs into the field, as well as to strengthen the common ground of the program participants. The individual talks will inform us about recent developments about higher structures in homotopy theory.
Higher structures in homotopy theory
Workshop
2nd July 2018 to 6th July 2018
Organisers:
Stefan Schwede Rheinische FriedrichWilhelmsUniversität Bonn
Clark Barwick University of Edinburgh
Julie Bergner University of Virginia
Ieke Moerdijk Universiteit Utrecht
Workshop Theme
Homotopy theory has covered a long distance since its origins, the classification of spaces up to homotopy equivalence. Over the years, various kinds of mathematical structures have been investigated from a homotopical perspective, such as equivariant spaces, rings, C^*algebras, or varieties. Many different approaches of how to formalize what a “homotopy theory” is were proposed, the most prominent ones being the notions of model category and ∞category.
The relationship between the different ways to formalize a homotopy theory is now well understood; indeed, for comparing different concepts of homotopy theories, one often wants to consider all of them together as another homotopy theory, i.e., a ‘homotopy theory of homotopy theories’. Somewhat surprisingly, most of the concepts organize themselves into a Quillen model category, and the various approaches are Quillen equivalent. After these individual comparison results, Töen was even able to axiomatically characterize a homotopy theory of homotopy theories.
The homotopy theory of homotopy theories is only the first step in a hierarchy of interesting structures, namely the homotopy theoretic approach to higher categories. From this broader perspective, homotopy theories are just (∞, 1)categories, where the ∞ indatices a structure with higher morphisms of all levels, and the 1 refers to the fact that all 1morphisms and higher morphisms are weakly invertible. There are now ways to give rigorous meaning to the notion of (∞, n)categories i.e., where only higher morphisms in level n and above are invertible. Having a rigorous model category of (∞,n)categories is a cornerstone for the modern approach to topological field theory, thereby unifying categorical considerations with those of homotopy and manifold theory.
This workshop consists of lecture series as well as individual research talks. The introductory series will explain some of the key methods relevant to many parts of the overarching program; they are intended to invite graduate students and postdocs into the field, as well as to strengthen the common ground of the program participants. The individual talks will inform us about recent developments about higher structures in homotopy theory.
Cambridge University
ah984
ah984@cam.ac.uk
http://sms.cam.ac.uk/collection/2781281
Higher structures in homotopy theory
20180703T11:16:53+01:00
INIMS
002281
no

Configuration spaces and Lie algebras away from characteristic zero
ucs_sms_2781281_2881214
http://sms.cam.ac.uk/media/2881214
Configuration spaces and Lie algebras away from characteristic zero
Knudsen, B
Thursday 6th December 2018  11:30 to 12:30
Mon, 10 Dec 2018 09:49:24 +0000
Isaac Newton Institute
Knudsen, B
59a5001854868fde690945f38beb3308
09448d8242f9be4f724e413ee2479f20
04f1eed08e746f8290a3eced2cb6c1a8
2f36f4e35879796adfd9360507ff5e9f
Knudsen, B
Thursday 6th December 2018  11:30 to 12:30
Knudsen, B
Thursday 6th December 2018  11:30 to 12:30
Cambridge University
3660
http://sms.cam.ac.uk/media/2881214
Configuration spaces and Lie algebras away from characteristic zero
Knudsen, B
Thursday 6th December 2018  11:30 to 12:30
There is a close connection between the theory of Lie algebras and the study of additive invariants of configuration spaces of manifolds, which has been exploited in many calculations of rational homology. We begin the computational exploration of this connection away from characteristic zero, exhibiting a spectral sequence converging to the pcomplete complex Ktheory of configuration spacesmore generally, to their completed Morava E(co)homologyand we identify its second page in terms of an algebraic homology theory for Lie algebras equipped with certain power operations. We construct a computationally accessible analogue of the classical ChevalleyEilenberg complex for these Hecke Lie algebras, and we use it to perform a number of computations. This talk is based on joint work in progress with Lukas Brantner and Jeremy Hahn.
20181210T09:49:24+00:00
3660
2881214
true
16x9
false
no

Hermitian Ktheory for Waldhausen infinity categories with genuine duality
ucs_sms_2781281_2783410
http://sms.cam.ac.uk/media/2783410
Hermitian Ktheory for Waldhausen infinity categories with genuine duality
Spitzweck, M
Friday 6th July 2018  11:30 to 12:30
Fri, 06 Jul 2018 16:08:01 +0100
Isaac Newton Institute
Spitzweck, M
c8424aa9f3a6d172330c2cfe6ca483a6
ae222fc62dcd6dd34e83d33ccb55beba
63c9f089ef3988be1365c87c4f75d7a9
2def4c4cc03e97c6de31f8f88e59c47c
Spitzweck, M
Friday 6th July 2018  11:30 to 12:30
Spitzweck, M
Friday 6th July 2018  11:30 to 12:30
Cambridge University
3840
http://sms.cam.ac.uk/media/2783410
Hermitian Ktheory for Waldhausen infinity categories with genuine duality
Spitzweck, M
Friday 6th July 2018  11:30 to 12:30
In the talk we will introduce the concept of an infinity category with genuine duality, a refinement of the notion of a duality on an infinity category. We will then define the infinity category of Waldhausen infinity categories with genuine duality and study the hermitian/real Ktheory functor on this category. In particular we will state and indicate a proof of the Additivity theorem in this context. This is joint work with Hadrian Heine and Paula Verdugo.
20180706T16:08:01+01:00
3840
2783410
true
16x9
false
no

The modelindependent theory of (∞,1)categories (1)
ucs_sms_2781281_2781323
http://sms.cam.ac.uk/media/2781323
The modelindependent theory of (∞,1)categories (1)
Riehl, E
Monday 2nd July 2018  10:00 to 11:00
Tue, 03 Jul 2018 12:46:09 +0100
Isaac Newton Institute
Riehl, E
9f540217caf5faae7b982e59979d3f98
7809518427aa2440c3e31bacd1fc8dd2
d4b2857ad13226cd4ab4b87ac0d9c40e
001641c732e2d896801b8480fb70342d
Riehl, E
Monday 2nd July 2018  10:00 to 11:00
Riehl, E
Monday 2nd July 2018  10:00 to 11:00
Cambridge University
4260
http://sms.cam.ac.uk/media/2781323
The modelindependent theory of (∞,1)categories (1)
Riehl, E
Monday 2nd July 2018  10:00 to 11:00
Coauthor: Dominic Verity (Macquarie University)
In these talks we use the nickname "∞category" to refer to either a quasicategory, a complete Segal space, a Segal category, or 1complicial set (aka a naturally marked quasicategory)  these terms referring to Quillen equivalent models of (∞,1)categories, these being weak infinitedimensional categories with all morphisms above dimension 1 weakly invertible. Each of these models has accompanying notions of ∞functor, and ∞natural transformation and these assemble into a strict 2category like that of (strict 1)categories, functors, and natural transformations.
In the first talk, we'll use standard 2categorical techniques to define adjunctions and equivalences between ∞categories and limits and colimits inside an ∞category and prove that these notions relate in the expected ways: eg that right adjoints preserve limits. All of this is done in the aforementioned 2category of ∞categories, ∞functors, and ∞natural transformations. In the 2category of quasicategories our definitions recover the standard ones of Joyal/Lurie though they are given here in a "synthetic" rather than their usual "analytic" form.
In the second talk, we'll justify the framework introduced in the first talk by giving an explicit construction of these 2categories. This makes use of an axiomatization of the properties common to the Joyal, Rezk, Bergner/Pellissier, and Verity/Lurie model structures as something we call an ∞cosmos.
In the third talk, we'll encode the universal properties of adjunction and of limits and colimits as equivalences of comma ∞categories. We also introduce co/cartesian fibrations in both onesided and twosided variants, the latter of which are used to define "modules" between ∞categories, of which comma ∞categories are the prototypical example.
In the fourth talk, we'll prove that theory being developed isn’t just "modelagnostic” (in the sense of applying equally to the four models mentioned above) but invariant under changeofmodel functors. As we explain, it follows that even the "analyticallyproven" theorems that exploit the combinatorics of one particular model remain valid in the other biequivalent models.
Related Links
http://www.math.jhu.edu/~eriehl/scratch.pdf  lecture notes from a similar series of four talks delivered at EPFL
http://www.math.jhu.edu/~eriehl/elements.pdf  book in progress on the subject of these lectures
20180703T12:46:10+01:00
4260
2781323
true
16x9
false
no

A Künneth theorem for configuration spaces of products
ucs_sms_2781281_2783297
http://sms.cam.ac.uk/media/2783297
A Künneth theorem for configuration spaces of products
Hess, K
Thursday 5th July 2018  16:00 to 17:00
Fri, 06 Jul 2018 14:23:56 +0100
Isaac Newton Institute
Hess, K
4d76462df37a5e5d633d305a39a0ac7b
83ef2df1059984150508f9cb3bd4d96a
3127e828b0c6009a8a953b4fb31c2d4c
10da38a52d2fd71491d5af7b0a60ca0a
Hess, K
Thursday 5th July 2018  16:00 to 17:00
Hess, K
Thursday 5th July 2018  16:00 to 17:00
Cambridge University
3780
http://sms.cam.ac.uk/media/2783297
A Künneth theorem for configuration spaces of products
Hess, K
Thursday 5th July 2018  16:00 to 17:00
Bill Dwyer, Ben Knudsen, and I recently constructed a model for the configuration space of a product of parallelizable manifolds in terms of the derived BoardmanVogt tensor product of right modules over the operads of little cubes of the appropriate dimensions. In this talk, after recalling our earlier work, I will introduce a spectral sequence Ben and I have developed for computing the homology of this model.
20180706T14:23:56+01:00
3780
2783297
true
16x9
false
no

Adelic models for Noetherian model categories (joint work with John Greenlees)
ucs_sms_2781281_2837995
http://sms.cam.ac.uk/media/2837995
Adelic models for Noetherian model categories (joint work with John Greenlees)
Balchin, S
Tuesday 2nd October 2018  14:00 to 15:00
Wed, 03 Oct 2018 11:59:14 +0100
Isaac Newton Institute
Balchin, S
645064a93270f1aeef05e21fc7a17231
0e6370aeca55dbc906d7ff98f3c6b9ec
2be6bbe6f586654007c77d091733eb29
7a27f1a2714b66d4b724f47759c44609
Balchin, S
Tuesday 2nd October 2018  14:00 to 15:00
Balchin, S
Tuesday 2nd October 2018  14:00 to 15:00
Cambridge University
3495
http://sms.cam.ac.uk/media/2837995
Adelic models for Noetherian model categories (joint work with John Greenlees)
Balchin, S
Tuesday 2nd October 2018  14:00 to 15:00
The algebraic models for rational Gequivariant cohomology theories (Barnes, Greenlees, Kedziorek, Shipley) are constructed by assembling data from each closed subgroup of G. We can compare this to the usual Hasse square, where we see abelian groups being constructed from data at each point of Spec(Z) in an adelic fashion. This style of assembly can be described in a general fashion using the data contained in the Balmer spectrum of the corresponding tensortriangulated categories. We show that given a Quillen model category whose homotopy category is a suitably well behaved tensortriangulated category, that we can construct a Quillen equivalent model from localized pcomplete data at each Balmer prime in an adelic fashion.
20181003T11:59:14+01:00
3495
2837995
true
16x9
false
no

Algebraic models for rational equivariant commutative ring spectra
ucs_sms_2781281_2809047
http://sms.cam.ac.uk/media/2809047
Algebraic models for rational equivariant commutative ring spectra
Kedziorek, M
Tuesday 14th August 2018  11:30 to 12:30
Wed, 15 Aug 2018 13:27:11 +0100
Isaac Newton Institute
Kedziorek, M
0dd2b285e32fca79640a799a1a679bc1
9990a26cb06e2c82fdcd4de6531fe032
ef0fd571d084e74045b368359692c7c6
b0c6b16e8ac95d7272bb209477843cc7
Kedziorek, M
Tuesday 14th August 2018  11:30 to 12:30
Kedziorek, M
Tuesday 14th August 2018  11:30 to 12:30
Cambridge University
3780
http://sms.cam.ac.uk/media/2809047
Algebraic models for rational equivariant commutative ring spectra
Kedziorek, M
Tuesday 14th August 2018  11:30 to 12:30
I will recall different levels of commutativity in Gequivariant stable homotopy theory and show how to understand them rationally when G is finite or SO(2) using algebraic models. This is joint work with D. Barnes and J.P.C. Greenlees.
20180815T13:27:11+01:00
3780
2809047
true
16x9
false
no

Ambidexterity in the T(n)Local Stable Homotopy Theory
ucs_sms_2781281_2818985
http://sms.cam.ac.uk/media/2818985
Ambidexterity in the T(n)Local Stable Homotopy Theory
Yanovski, L
Tuesday 28th August 2018  15:30 to 16:30
Mon, 03 Sep 2018 17:24:18 +0100
Isaac Newton Institute
Yanovski, L
6ebe8f4aa1bcb27d3f0293c651455843
e0cda8d19840c097594228b49a942d5b
f71066c93e07087c6309816fb934bb0c
008a60129dc986b297f2e1f02534a906
Yanovski, L
Tuesday 28th August 2018  15:30 to 16:30
Yanovski, L
Tuesday 28th August 2018  15:30 to 16:30
Cambridge University
3600
http://sms.cam.ac.uk/media/2818985
Ambidexterity in the T(n)Local Stable Homotopy Theory
Yanovski, L
Tuesday 28th August 2018  15:30 to 16:30
The monochromatic layers of the chromatic filtration on spectra, that is The K(n)local (stable 00)categories Sp_{K(n)} enjoy many remarkable properties. One example is the vanishing of the Tate construction due to HoveyGreenleesSadofsky. The vanishing of Tate construction can be considered as a natural equivalence between the colimits and limits in Sp_{K(n)} parametrized by finite groupoids. Hopkins and Lurie proved a generalization of this result where finite groupoids are replaced by arbitrary \pifinite 00groupoids. There is another possible sequence of (stable 00)categories who can be considered as "monochromatic layers", Those are the T(n)local 00categories Sp_{T(n)}. For the Sp_{T(n)} the vanishing of the Tate construction was proved by Kuhn. We shall prove that the analog of Hopkins and Lurie's result in for Sp_{T(n)}. Our proof will also give an alternative proof for the K(n)local case. This is a joint work with Shachar Carmieli and Lior Yanovski
20180903T17:24:18+01:00
3600
2818985
true
16x9
false
no

An Additivity Theorem for cobordism categories, with applications to Hermitian Ktheory
ucs_sms_2781281_2814160
http://sms.cam.ac.uk/media/2814160
An Additivity Theorem for cobordism categories, with applications to Hermitian Ktheory
Steimle, W
Tuesday 21st August 2018  14:00 to 15:00
Thu, 23 Aug 2018 12:36:44 +0100
Isaac Newton Institute
Steimle, W
143534331652e4dee7bd341f63324cb2
4fbd15c87d5ac453aff6413d460a5914
9e76af6bd668e90a65c3ab1d09a7b5f7
1a543ee715a444c3e04ac15ff3ff015e
Steimle, W
Tuesday 21st August 2018  14:00 to 15:00
Steimle, W
Tuesday 21st August 2018  14:00 to 15:00
Cambridge University
3600
http://sms.cam.ac.uk/media/2814160
An Additivity Theorem for cobordism categories, with applications to Hermitian Ktheory
Steimle, W
Tuesday 21st August 2018  14:00 to 15:00
The goal of this talk is to explain that Genauer's computation of the cobordism category with boundaries is a precise analogue of Waldhausen's additivity theorem in algebraic Ktheory, and to give a new, parallel proof of both results. The same proof technique also applies to cobordism categories of Poincaré chain complexes in the sense of Ranicki. Here we obtain that its classifying space is the infinite loop space of a nonconnective spectrum which has similar properties as Schlichting's GrothendieckWitt spectrum when 2 is invertible; but it turns out that these properties still hold even if 2 is not invertible. This talk is partially based on joint work with B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, M. Land, K. Moi, D. Nardin and Th. Nikolaus.
20180823T12:36:44+01:00
3600
2814160
true
16x9
false
no

An introduction to topological coHochschild homology
ucs_sms_2781281_2860728
http://sms.cam.ac.uk/media/2860728
An introduction to topological coHochschild homology
Hess, K
Tuesday 6th November 2018  15:30 to 16:30
Wed, 07 Nov 2018 14:45:42 +0000
Isaac Newton Institute
Hess, K
4dbe9c5350f35b7a00b6cdea129860ac
e2f4866ad944e6f72b21e7c0eb13304d
5372d4c0e8dfe4b221cf9d1b66622bc8
b1989ce567ca16d7ce2c6a49bf7a1823
Hess, K
Tuesday 6th November 2018  15:30 to 16:30
Hess, K
Tuesday 6th November 2018  15:30 to 16:30
Cambridge University
3900
http://sms.cam.ac.uk/media/2860728
An introduction to topological coHochschild homology
Hess, K
Tuesday 6th November 2018  15:30 to 16:30
20181107T14:45:42+00:00
3900
2860728
true
16x9
false
no

C_2 equivariant homotopy groups from real motivic homotopy groups
ucs_sms_2781281_2810227
http://sms.cam.ac.uk/media/2810227
C_2 equivariant homotopy groups from real motivic homotopy groups
Behrens, M
Thursday 16th August 2018  09:00 to 10:00
Fri, 17 Aug 2018 15:45:11 +0100
Isaac Newton Institute
Behrens, M
2463a1e77cea550c5072aa3b1eedb7ca
4236d1f10c8528fe866328c780f28952
b97d43e3957dd3832b8983355c319a4b
8ac7546fd2db53d6834d9670369abd44
Behrens, M
Thursday 16th August 2018  09:00 to 10:00
Behrens, M
Thursday 16th August 2018  09:00 to 10:00
Cambridge University
3780
http://sms.cam.ac.uk/media/2810227
C_2 equivariant homotopy groups from real motivic homotopy groups
Behrens, M
Thursday 16th August 2018  09:00 to 10:00
The Betti realization of a real motivic spectrum is a genuine C_2 spectrum. It is well known (c.f. the work of DuggerIsaksen) that the homotopy groups of the Betti realization of a complex motivic spectrum can be computed by "inverting tau". I will describe a similar theorem which describes the C_2equivariant RO(G) graded homotopy groups of the Betti realization of a cellular real motivic spectrum in terms of its bigraded real motivic homotopy groups. This is joint work with Jay Shah.
20180817T15:45:12+01:00
3780
2810227
true
16x9
false
no

Configuration spaces of points and real GoodwillieWeiss calculus
ucs_sms_2781281_2878748
http://sms.cam.ac.uk/media/2878748
Configuration spaces of points and real GoodwillieWeiss calculus
Willwacher, T
Tuesday 4th December 2018  10:00 to 11:00
Wed, 05 Dec 2018 15:42:47 +0000
Isaac Newton Institute
Willwacher, T
f327705a91a20f0c9fc536c198eff029
220bfa45662a054452430ee3c1d46100
c3e0a55241f2eec8150a78fd5bd2f44d
2b015508b40993a0d4f8b80687393b15
Willwacher, T
Tuesday 4th December 2018  10:00 to 11:00
Willwacher, T
Tuesday 4th December 2018  10:00 to 11:00
Cambridge University
3960
http://sms.cam.ac.uk/media/2878748
Configuration spaces of points and real GoodwillieWeiss calculus
Willwacher, T
Tuesday 4th December 2018  10:00 to 11:00
The manifold calculus of Goodwillie and Weiss proposes to reduce questions about embedding spaces of manifolds to questions about mapping spaces of the (littledisks modules of) configuration spaces of points on those manifolds. We will discuss real models for these configuration spaces. Furthermore, we will see that a real version of the aforementioned mapping spaces is computable in terms of graph complexes. In particular, this yields a new tool to study diffeomorphism groups and moduli spaces.
20181205T15:42:47+00:00
3960
2878748
true
16x9
false
no

Connectivity and growth in the homology of graph braid groups
ucs_sms_2781281_2786117
http://sms.cam.ac.uk/media/2786117
Connectivity and growth in the homology of graph braid groups
Knudsen, B
Tuesday 10th July 2018  14:00 to 15:00
Wed, 11 Jul 2018 15:54:49 +0100
Isaac Newton Institute
Knudsen, B
1b4d9f85a66bf569b9400de08f87292f
ad73e479387ca4e46cce58dae263b5e9
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Knudsen, B
Tuesday 10th July 2018  14:00 to 15:00
Knudsen, B
Tuesday 10th July 2018  14:00 to 15:00
Cambridge University
2155
http://sms.cam.ac.uk/media/2786117
Connectivity and growth in the homology of graph braid groups
Knudsen, B
Tuesday 10th July 2018  14:00 to 15:00
20180711T15:54:49+01:00
2155
2786117
true
16x9
false
no

Contributed talk  Extended evaluation maps from knots to the embedding tower
ucs_sms_2781281_2883741
http://sms.cam.ac.uk/media/2883741
Contributed talk  Extended evaluation maps from knots to the embedding tower
Kosanović, D
Thursday 6th December 2018  16:30 to 17:00
Fri, 14 Dec 2018 11:12:45 +0000
Isaac Newton Institute
Kosanović, D
f70e21398d80620d7b1ab7f55995c2eb
8df22d6d0017c79013a775a87ea418b8
5ef8337bdea9aa894f3ae0fbfd3fd762
7a1603aceff6101255b2e10a02fab259
Kosanović, D
Thursday 6th December 2018  16:30 to 17:00
Kosanović, D
Thursday 6th December 2018  16:30 to 17:00
Cambridge University
1754
http://sms.cam.ac.uk/media/2883741
Contributed talk  Extended evaluation maps from knots to the embedding tower
Kosanović, D
Thursday 6th December 2018  16:30 to 17:00
The evaluation maps from the space of knots to the associated embedding tower are conjectured to be universal knot invariants of finite type. Currently such invariants are known to exist only over the rationals (using the existence of Drinfeld associators) and the question of torsion remains wide open. On the other hand, grope cobordisms are certain operations in ambient 3space producing knots that share the same finite type invariants and give a geometric explanation for the appearance of Lie algebras and graph complexes.<br>
<br>
I will explain how grope cobordisms and an explicit geometric construction give paths in the various levels of the embedding tower. Taking components recovers the result of BudneyConantKoytcheffSinha, showing that these invariants are indeed of finite type. This is work in progress joint with Y. Shi and P. Teichner.
20181214T11:12:46+00:00
1754
2883741
true
16x9
false
no

Contributed Talk  The low dimensional homology of Coxeter groups
ucs_sms_2781281_2881221
http://sms.cam.ac.uk/media/2881221
Contributed Talk  The low dimensional homology of Coxeter groups
Boyd, R
Thursday 6th December 2018  15:00 to 15:30
Mon, 10 Dec 2018 09:35:51 +0000
Isaac Newton Institute
Boyd, R
19db8b09f6c1cf388358092b41511e62
9e41bd5a73a751867fbbd3773e93c226
29b5e679d255e2729ed74c8f75ad8769
159c62a0f6699785a59184b2515daf8a
Boyd, R
Thursday 6th December 2018  15:00 to 15:30
Boyd, R
Thursday 6th December 2018  15:00 to 15:30
Cambridge University
1917
http://sms.cam.ac.uk/media/2881221
Contributed Talk  The low dimensional homology of Coxeter groups
Boyd, R
Thursday 6th December 2018  15:00 to 15:30
Coxeter groups were introduced by Tits in the 1960s as abstractions of the finite reflection groups studied by Coxeter. Any Coxeter group acts by reflections on a contractible complex, called the Davis complex. This talk focuses on a computation of the first three integral homology groups of an arbitrary Coxeter group using an isotropy spectral sequence argument: the answer can be phrased purely in terms of the original Coxeter diagram. I will give an introduction to Coxeter groups and the Davis complex before outlining the proof.
20181210T09:35:52+00:00
1917
2881221
true
16x9
false
no

Derived algebraic geometry I
ucs_sms_2781281_2834228
http://sms.cam.ac.uk/media/2834228
Derived algebraic geometry I
Antieau, B
Wednesday 26th September 2018  10:00 to 11:00
Wed, 26 Sep 2018 15:12:09 +0100
Isaac Newton Institute
Antieau, B
889825679ef7ca9272cf3df852629025
ad4aba934579ae55debd7d9ea3d64a10
3ec1a033cdeae3fa38a0bf5f4e05434a
9a13c0fa23251c542841cfd3e8a6516b
Antieau, B
Wednesday 26th September 2018  10:00 to 11:00
Antieau, B
Wednesday 26th September 2018  10:00 to 11:00
Cambridge University
3840
http://sms.cam.ac.uk/media/2834228
Derived algebraic geometry I
Antieau, B
Wednesday 26th September 2018  10:00 to 11:00
In this series of lectures I will outline the major features of derived algebraic geometry in both the connective and nonconnective settings. The connective setting is what is closer to classical algebraic geometry and the study of geometric moduli spaces, for example moduli of objects in derived categories; the nonconnective setting is what is needed for applications to topological modular forms.
20180926T15:12:09+01:00
3840
2834228
true
16x9
false
no

Derived algebraic geometry II
ucs_sms_2781281_2835395
http://sms.cam.ac.uk/media/2835395
Derived algebraic geometry II
Antieau, B
Thursday 27th September 2018  10:00 to 11:00
Fri, 28 Sep 2018 09:01:19 +0100
Isaac Newton Institute
Antieau, B
a0a80e4fab7eed6bb4cf9a4bbabf66ba
58d0b1627967f36d226959161c965580
5f46b36149160a89400659bdf9b4c105
b800289c6de55bf1056e2f0eab0b1988
Antieau, B
Thursday 27th September 2018  10:00 to 11:00
Antieau, B
Thursday 27th September 2018  10:00 to 11:00
Cambridge University
3840
http://sms.cam.ac.uk/media/2835395
Derived algebraic geometry II
Antieau, B
Thursday 27th September 2018  10:00 to 11:00
In this series of lectures I will outline the major features of derived algebraic geometry in both the connective and nonconnective settings. The connective setting is what is closer to classical algebraic geometry and the study of geometric moduli spaces, for example moduli of objects in derived categories; the nonconnective setting is what is needed for applications to topological modular forms.
20180928T09:01:20+01:00
3840
2835395
true
16x9
false
no

Derived modular envelopes and moduli spaces of bordered Riemann surfaces
ucs_sms_2781281_2800323
http://sms.cam.ac.uk/media/2800323
Derived modular envelopes and moduli spaces of bordered Riemann surfaces
Berger, C
Tuesday 31st July 2018  14:00 to 15:00
Wed, 01 Aug 2018 12:56:05 +0100
Isaac Newton Institute
Berger, C
9d3ee05a2e7c2342afd96f2eae1992b0
0caadaa842794c34b15456d698f7e674
b3725037efd75ebc332a276230665676
c6c11908cfc98b7f21042a5931e08a55
Berger, C
Tuesday 31st July 2018  14:00 to 15:00
Berger, C
Tuesday 31st July 2018  14:00 to 15:00
Cambridge University
3900
http://sms.cam.ac.uk/media/2800323
Derived modular envelopes and moduli spaces of bordered Riemann surfaces
Berger, C
Tuesday 31st July 2018  14:00 to 15:00
We study the derived modular envelope of several cyclic operads. More specifically, using a cyclic Wconstruction as cofibrant replacement we get a derived modular envelope (of the cyclic operad of planar structures) which can be interpreted as a ribbon graph model for the corresponding moduli space of bordered Riemann surfaces. (Joint work with Ralph Kaufmann).
20180801T12:56:05+01:00
3900
2800323
true
16x9
false
no

Duality and invertibility using finite resolutions  2
ucs_sms_2781281_2834207
http://sms.cam.ac.uk/media/2834207
Duality and invertibility using finite resolutions  2
Beaudry, A
Tuesday 25th September 2018  10:00 to 11:00
Wed, 26 Sep 2018 15:05:18 +0100
Isaac Newton Institute
Beaudry, A
66d734a2a8d5e16dbd3d70a38d2749ce
5c88dfa2dea4f8c4109dc9c1af82d05f
7221aa2c8500ff683793767229ece7b7
a5406cc8781b03815eed9f3c23e1de3e
Beaudry, A
Tuesday 25th September 2018  10:00 to 11:00
Beaudry, A
Tuesday 25th September 2018  10:00 to 11:00
Cambridge University
3780
http://sms.cam.ac.uk/media/2834207
Duality and invertibility using finite resolutions  2
Beaudry, A
Tuesday 25th September 2018  10:00 to 11:00
In this talk, I will explain applications of the finite resolutions constructed in the first talk to the study of invertibility and duality in the K(n)local category.
20180926T15:05:19+01:00
3780
2834207
true
16x9
false
no

Dualizability in the higher Morita category
ucs_sms_2781281_2783304
http://sms.cam.ac.uk/media/2783304
Dualizability in the higher Morita category
Scheimbauer, C
Friday 6th July 2018  10:00 to 11:00
Fri, 06 Jul 2018 14:32:05 +0100
Isaac Newton Institute
Scheimbauer, C
eb047b12d0ed3f45357bc83ef94af431
2ff509b6ba76e3f132fa7db18371ac54
f771b0e0424511ee5d5c7e06f21c87a6
42f4966662bcaeb2f385802f8cca4b4d
Scheimbauer, C
Friday 6th July 2018  10:00 to 11:00
Scheimbauer, C
Friday 6th July 2018  10:00 to 11:00
Cambridge University
4020
http://sms.cam.ac.uk/media/2783304
Dualizability in the higher Morita category
Scheimbauer, C
Friday 6th July 2018  10:00 to 11:00
In this talk I will explain how one can use geometric arguments to obtain results on dualizablity in a ``factorization version’’ of the Morita category. We will relate our results to previous dualizability results (by DouglasSchommerPriesSnyder and BrochierJordanSnyder on TuraevViro and ReshetikinTuraev theories). We will discuss applications of these dualiability results: one is to construct examples of lowdimensional field theories “relative” to their observables. An example will be given by Azumaya algebras, for example polynomial differential operators (Weyl algebra) in positive characteristic and its center. (This is joint work with Owen Gwilliam.)
20180706T14:32:05+01:00
4020
2783304
true
16x9
false
no

Embeddings, operads, graphcomplexes
ucs_sms_2781281_2878755
http://sms.cam.ac.uk/media/2878755
Embeddings, operads, graphcomplexes
Turchin, V
Tuesday 4th December 2018  14:30 to 15:30
Wed, 05 Dec 2018 15:45:34 +0000
Isaac Newton Institute
Turchin, V
b2f92aedc76c7fa7d5c89ab6628597df
84e9111703007601f116a9943c6a4722
4e5e2db3a23b891309a2513deb9fd399
15b05fa5504be647bb46fb6dde9456a4
Turchin, V
Tuesday 4th December 2018  14:30 to 15:30
Turchin, V
Tuesday 4th December 2018  14:30 to 15:30
Cambridge University
3840
http://sms.cam.ac.uk/media/2878755
Embeddings, operads, graphcomplexes
Turchin, V
Tuesday 4th December 2018  14:30 to 15:30
I will talk about the connection between the following concepts: manifold calculus, little discs operads, embedding spaces, problem of delooping, relative rational formality of the little discs, and graphcomplexes. I will review main results on this connection by Boavida de Brito and Weiss, my coauthors and myself. At the end I will briefly go over the current joint work in progress of Fresse, Willwacher, and myself on the rational homotopy type of embedding spaces. Coauthors: Gregory Arone (Stockholm University), Julien Ducoulombier (ETH, Zurich), Benoit Fresse (University of Lille), Pascal Lambrechts (University of Louvain), Paul Arnaud Songhafouo Tsopméné (University of Regina), Thomas Willwacher (ETH, Zurich).
20181205T15:45:34+00:00
3840
2878755
true
16x9
false
no

Equivariant multiplications and idempotent splittings of > Gspectra
ucs_sms_2781281_2845110
http://sms.cam.ac.uk/media/2845110
Equivariant multiplications and idempotent splittings of > Gspectra
Böhme, B
Tuesday 9th October 2018  15:30 to 16:30
Tue, 16 Oct 2018 12:47:30 +0100
Isaac Newton Institute
Böhme, B
01ffd4cf1e950bbba9ffec8b4246f029
a4c5fc3b7d2c7c64a0fb2db931518826
2f03aec2c51beae7d5b7da1e91d5c695
31277bd03679b5f088bfbe35873a3c00
Böhme, B
Tuesday 9th October 2018  15:30 to 16:30
Böhme, B
Tuesday 9th October 2018  15:30 to 16:30
Cambridge University
3960
http://sms.cam.ac.uk/media/2845110
Equivariant multiplications and idempotent splittings of > Gspectra
Böhme, B
Tuesday 9th October 2018  15:30 to 16:30
My PhD research concerns multiplicative phenomena in > equivariant stable homotopy theory. Equivariantly with respect to a > finite group G, there are many different notions of a commutative ring > spectrum. The idempotent summands of the genuine equivariant versions > of the sphere spectrum and the topological Ktheory spectra provide > natural examples of such objects. I give a complete characterization > of the best possible equivariant commutative ring structures on these > summands. As an important step in my approach, I establish a > classification of the idempotent elements in the (plocal) > representation ring of G, which may be of independent interest.
20181016T12:47:30+01:00
3960
2845110
true
16x9
false
no

Etale and motivic variations on Smith's theory on action of cyclic groups
ucs_sms_2781281_2810255
http://sms.cam.ac.uk/media/2810255
Etale and motivic variations on Smith's theory on action of cyclic groups
Morel, F
Thursday 16th August 2018  16:00 to 17:00
Fri, 17 Aug 2018 15:58:45 +0100
Isaac Newton Institute
Morel, F
bc135f672ac95f8278aec997c99c3fcc
b682c7bc9caa0a95534bb6bc571fad8b
741e90419c586f081c3f0ea776c43eea
b934691a58f0dc3f7e847533ba3dcc7d
Morel, F
Thursday 16th August 2018  16:00 to 17:00
Morel, F
Thursday 16th August 2018  16:00 to 17:00
Cambridge University
4260
http://sms.cam.ac.uk/media/2810255
Etale and motivic variations on Smith's theory on action of cyclic groups
Morel, F
Thursday 16th August 2018  16:00 to 17:00
In this talk, after recalling some facts on Smith's theory in classical topology, I will present some analogues in algebraic geometry using \'etale cohomology first, and I will also give analogues in \A^1homotopy theory and motives of Smith's theory concerning the multiplicative group \G_m, which behaves like a "cyclic of order 2".
20180817T15:58:45+01:00
4260
2810255
true
16x9
false
no

Examples of nonalgebraic classes in the BrownPeterson tower
ucs_sms_2781281_2837336
http://sms.cam.ac.uk/media/2837336
Examples of nonalgebraic classes in the BrownPeterson tower
Quick, G
Friday 28th September 2018  11:30 to 12:30
Tue, 02 Oct 2018 09:28:55 +0100
Isaac Newton Institute
Quick, G
290bfac5963f6544c84a77a39f5e061b
2164bbd8aafb0b503ce1d0ecf3a3ddd1
f6d10bab2d7ac97e9c37de1c1fd51b02
afa0527b7b904c116a731d08c52f7636
Quick, G
Friday 28th September 2018  11:30 to 12:30
Quick, G
Friday 28th September 2018  11:30 to 12:30
Cambridge University
3442
http://sms.cam.ac.uk/media/2837336
Examples of nonalgebraic classes in the BrownPeterson tower
Quick, G
Friday 28th September 2018  11:30 to 12:30
It is a classical problem in algebraic geometry to decide whether a class in the singular cohomology of a smooth complex variety X is algebraic, that is if it can be realized as the fundamental class of an algebraic subvariety of X. One can ask a similar question for motivic spectra: Given a motivic spectrum E, which classes in the topological Ecohomology of X come from motivic classes. I would like to discuss this question and examples of nonalgebraic classes for the tower of BrownPeterson spectra.
20181002T09:28:55+01:00
3442
2837336
true
16x9
false
no

Exodromy
ucs_sms_2781281_2795836
http://sms.cam.ac.uk/media/2795836
Exodromy
Barwick, C
Tuesday 24th July 2018  15:30 to 16:30
Wed, 25 Jul 2018 15:58:09 +0100
Isaac Newton Institute
Barwick, C
aa0902bb715eea81f3bb6db93659207d
826ff6ab6356b630bb6d205505f29b3a
1d28bd0cf26eaa17a7915e66db230ad5
4028e6ad2c3d75fbbe0d8840f7b1fe13
Barwick, C
Tuesday 24th July 2018  15:30 to 16:30
Barwick, C
Tuesday 24th July 2018  15:30 to 16:30
Cambridge University
4020
http://sms.cam.ac.uk/media/2795836
Exodromy
Barwick, C
Tuesday 24th July 2018  15:30 to 16:30
20180725T15:58:09+01:00
4020
2795836
true
16x9
false
no

Exodromy and endodromy
ucs_sms_2781281_2808544
http://sms.cam.ac.uk/media/2808544
Exodromy and endodromy
Barwick, C
Monday 13th August 2018  16:00 to 17:00
Tue, 14 Aug 2018 13:55:07 +0100
Isaac Newton Institute
Barwick, C
72c6fbfca49138f27ec2cd57e1fb62f9
65feeca4599a506e1ceaaa49d45c06dc
0a5ea377619d7ef21429102adecb3597
885a4dadefda081a0d012dd9c79a379c
Barwick, C
Monday 13th August 2018  16:00 to 17:00
Barwick, C
Monday 13th August 2018  16:00 to 17:00
Cambridge University
3840
http://sms.cam.ac.uk/media/2808544
Exodromy and endodromy
Barwick, C
Monday 13th August 2018  16:00 to 17:00
On the étale homotopy type of a scheme, there is a natural stratification. We describe both it and its dual, and we discuss some of the ramification information it captures. Joint work with Saul Glasman, Peter Haine, Tomer Schlank.
20180814T13:55:07+01:00
3840
2808544
true
16x9
false
no

Factorization homology (1)
ucs_sms_2781281_2781353
http://sms.cam.ac.uk/media/2781353
Factorization homology (1)
Francis, J
Monday 2nd July 2018  14:30 to 15:30
Tue, 03 Jul 2018 13:12:32 +0100
Isaac Newton Institute
Francis, J
21f087acf565dc50533d148682c46ec6
1f04ca6365cf14920204b252e296685b
d446c58a4751e776722e4d4d5bc65299
850fd475d58229160063491a5d13db0d
Francis, J
Monday 2nd July 2018  14:30 to 15:30
Francis, J
Monday 2nd July 2018  14:30 to 15:30
Cambridge University
3660
http://sms.cam.ac.uk/media/2781353
Factorization homology (1)
Francis, J
Monday 2nd July 2018  14:30 to 15:30
20180703T13:12:32+01:00
3660
2781353
true
16x9
false
no

Factorization homology (2)
ucs_sms_2781281_2781958
http://sms.cam.ac.uk/media/2781958
Factorization homology (2)
Francis, J
Tuesday 3rd July 2018  14:30 to 15:30
Wed, 04 Jul 2018 14:18:52 +0100
Isaac Newton Institute
Francis, J
9406e50b1eb6e575bdd1c4d9e12be35f
b33cd715560e001d0ea0c6b88880ab9a
2b12f1657bd5dd95d70abf6e46eb682d
9ad36915f3f181f1f90aede593127c28
Francis, J
Tuesday 3rd July 2018  14:30 to 15:30
Francis, J
Tuesday 3rd July 2018  14:30 to 15:30
Cambridge University
3600
http://sms.cam.ac.uk/media/2781958
Factorization homology (2)
Francis, J
Tuesday 3rd July 2018  14:30 to 15:30
20180704T14:18:53+01:00
3600
2781958
true
16x9
false
no

Galois extensions in motivic homotopy theory
ucs_sms_2781281_2809040
http://sms.cam.ac.uk/media/2809040
Galois extensions in motivic homotopy theory
Stojanoska, V
Tuesday 14th August 2018  16:00 to 17:00
Wed, 15 Aug 2018 13:23:42 +0100
Isaac Newton Institute
Stojanoska, V
b53d4c5af1fe86db10912fa4c84cf737
c6ef4e812608cb75cb94687aceb7c634
eb171ef51ae13d3c6edc871c897a703a
2ee96d3cbaa55b208e631dc2bed3c2a4
Stojanoska, V
Tuesday 14th August 2018  16:00 to 17:00
Stojanoska, V
Tuesday 14th August 2018  16:00 to 17:00
Cambridge University
3780
http://sms.cam.ac.uk/media/2809040
Galois extensions in motivic homotopy theory
Stojanoska, V
Tuesday 14th August 2018  16:00 to 17:00
There are two notions of homotopical Galois extensions in the motivic setting; I will discuss what we know about each, along with illustrative examples. This is joint work in progress with Beaudry, Heller, Hess, Kedziorek, and Merling.
20180815T13:23:42+01:00
3780
2809040
true
16x9
false
no

Geometric models of twisted Khomology
ucs_sms_2781281_2795829
http://sms.cam.ac.uk/media/2795829
Geometric models of twisted Khomology
Schick, T
Tuesday 24th July 2018  14:00 to 15:00
Wed, 25 Jul 2018 15:56:03 +0100
Isaac Newton Institute
Schick, T
af3a23ad446546d0bd873f3bfcb0b89d
27c477bc8a41995ef0eee24832ce0934
5a85634dd741beb8780d3090276f7a53
336cb5f844e2e8de9187bfefc81aa10b
Schick, T
Tuesday 24th July 2018  14:00 to 15:00
Schick, T
Tuesday 24th July 2018  14:00 to 15:00
Cambridge University
3900
http://sms.cam.ac.uk/media/2795829
Geometric models of twisted Khomology
Schick, T
Tuesday 24th July 2018  14:00 to 15:00
20180725T15:56:03+01:00
3900
2795829
true
16x9
false
no

Graded Tambara functors
ucs_sms_2781281_2810241
http://sms.cam.ac.uk/media/2810241
Graded Tambara functors
Bohmann, A
Thursday 16th August 2018  11:30 to 12:30
Fri, 17 Aug 2018 15:50:34 +0100
Isaac Newton Institute
Bohmann, A
fdb69afe76cd1fde8cba0b5733d1d17d
ae70784345b2bf143b567764e441d3f2
0de99d6e5cab5689186cca8a3e48addf
64fa1729a471c4207452ff663ff4ca8b
Bohmann, A
Thursday 16th August 2018  11:30 to 12:30
Bohmann, A
Thursday 16th August 2018  11:30 to 12:30
Cambridge University
3900
http://sms.cam.ac.uk/media/2810241
Graded Tambara functors
Bohmann, A
Thursday 16th August 2018  11:30 to 12:30
Let E be a Gspectrum for a finite group G. It's long been known that homotopy groups of E have the structure of "Mackey functors." If E is G commutative ring spectrum, then work of Strickland and of Brun shows that the zeroth homotopy groups of E form a "Tambara functor." This is more structure than just a Mackey functor with commutative multiplication and there is much recent work investigating nuances of this structure. I will discuss work with Vigleik Angeltveit that extends this result to include the higher homotopy groups of E. Specifically, if E has a commutative multiplication that enjoys lots of structure with respect to the G action, the homotopy groups of E form a graded Tambara functor. In particular, genuine commutative G ring spectra enjoy this property.
20180817T15:50:34+01:00
3900
2810241
true
16x9
false
no

Higher categories and algebraic Ktheory (1)
ucs_sms_2781281_2781330
http://sms.cam.ac.uk/media/2781330
Higher categories and algebraic Ktheory (1)
Nikolaus, T
Monday 2nd July 2018  11:30 to 12:30
Tue, 03 Jul 2018 13:11:12 +0100
Isaac Newton Institute
Nikolaus, T
1cef82b2a67a050f857a7497753443bd
ff17351e20b00120e839bd9815fe5749
cb46e99ba19ae5af7b2497678dfb5e75
038f7844fcef3ba200758f17c1b1c1e7
Nikolaus, T
Monday 2nd July 2018  11:30 to 12:30
Nikolaus, T
Monday 2nd July 2018  11:30 to 12:30
Cambridge University
4140
http://sms.cam.ac.uk/media/2781330
Higher categories and algebraic Ktheory (1)
Nikolaus, T
Monday 2nd July 2018  11:30 to 12:30
20180703T13:11:13+01:00
4140
2781330
true
16x9
false
no

Higher categories and algebraic Ktheory (2)
ucs_sms_2781281_2781944
http://sms.cam.ac.uk/media/2781944
Higher categories and algebraic Ktheory (2)
Nikolaus, T
Tuesday 3rd July 2018  11:30 to 12:30
Wed, 04 Jul 2018 14:13:36 +0100
Isaac Newton Institute
Nikolaus, T
7f141a25d171627f658c54eebb6b80c7
070ae025112b357db877d1bd10bc1df4
ff9b7e27789bc698a2f06024bf06f4d7
6150f5c42057c60411f4f556c8842fdf
Nikolaus, T
Tuesday 3rd July 2018  11:30 to 12:30
Nikolaus, T
Tuesday 3rd July 2018  11:30 to 12:30
Cambridge University
4020
http://sms.cam.ac.uk/media/2781944
Higher categories and algebraic Ktheory (2)
Nikolaus, T
Tuesday 3rd July 2018  11:30 to 12:30
20180704T14:13:36+01:00
4020
2781944
true
16x9
false
no

Higher categories and algebraic Ktheory (3)
ucs_sms_2781281_2781997
http://sms.cam.ac.uk/media/2781997
Higher categories and algebraic Ktheory (3)
Nikolaus, T
Wednesday 4th July 2018  11:30 to 12:30
Wed, 04 Jul 2018 14:56:29 +0100
Isaac Newton Institute
Nikolaus, T
8cbc47027ea88f5da69fb16e0dbe5ca3
be39bf2497fd969a7478f75e34c8aa42
2aa5f3b279aa126c08dac42416d7073d
c6043566550b17609515970fd0c3a829
Nikolaus, T
Wednesday 4th July 2018  11:30 to 12:30
Nikolaus, T
Wednesday 4th July 2018  11:30 to 12:30
Cambridge University
4380
http://sms.cam.ac.uk/media/2781997
Higher categories and algebraic Ktheory (3)
Nikolaus, T
Wednesday 4th July 2018  11:30 to 12:30
20180704T14:56:29+01:00
4380
2781997
true
16x9
false
no

Higher categories and algebraic Ktheory (4)
ucs_sms_2781281_2783283
http://sms.cam.ac.uk/media/2783283
Higher categories and algebraic Ktheory (4)
Nikolaus, T
Thursday 5th July 2018  11:30 to 12:30
Fri, 06 Jul 2018 14:17:28 +0100
Isaac Newton Institute
Nikolaus, T
f2f6d1b03526de990829ba117284f3ca
e510d2d24c9b6f123b45b5981019a4f0
33994f12082ea5c92df616e67e41f736
7fbfc8982729650a6b07241e9fc6e83d
Nikolaus, T
Thursday 5th July 2018  11:30 to 12:30
Nikolaus, T
Thursday 5th July 2018  11:30 to 12:30
Cambridge University
3900
http://sms.cam.ac.uk/media/2783283
Higher categories and algebraic Ktheory (4)
Nikolaus, T
Thursday 5th July 2018  11:30 to 12:30
20180706T14:17:28+01:00
3900
2783283
true
16x9
false
no

Higher categories of higher categories
ucs_sms_2781281_2783290
http://sms.cam.ac.uk/media/2783290
Higher categories of higher categories
Haugseng, R
Thursday 5th July 2018  13:30 to 14:30
Fri, 06 Jul 2018 14:16:47 +0100
Isaac Newton Institute
Haugseng, R
3f231611464913ffd590ca5f42e3249c
01866d7bb6fbddc6aa1ae4c428c1fd3c
b66ac716a28b07ab74d94961503eeeb4
533a1b7f541db47b778b8a9311d077b8
Haugseng, R
Thursday 5th July 2018  13:30 to 14:30
Haugseng, R
Thursday 5th July 2018  13:30 to 14:30
Cambridge University
3545
http://sms.cam.ac.uk/media/2783290
Higher categories of higher categories
Haugseng, R
Thursday 5th July 2018  13:30 to 14:30
I will describe a construction of a higher category of enriched (infinity,n)categories, and attempt to convince the audience that this is interesting.
20180706T14:16:48+01:00
3545
2783290
true
16x9
false
no

Higher Hochschild homology as a functor
ucs_sms_2781281_2878776
http://sms.cam.ac.uk/media/2878776
Higher Hochschild homology as a functor
Vespa, C
Wednesday 5th December 2018  10:00 to 11:00
Wed, 05 Dec 2018 15:51:21 +0000
Isaac Newton Institute
Vespa, C
6e4a4f35f321ec077e2e1cf787ae0686
ed8e01637d85a8dd81e421b5a4b7d382
cbffb4544299067707a9a44b48930533
0f1a8d79729cd57f4a1eb2b619d8bcc1
Vespa, C
Wednesday 5th December 2018  10:00 to 11:00
Vespa, C
Wednesday 5th December 2018  10:00 to 11:00
Cambridge University
3579
http://sms.cam.ac.uk/media/2878776
Higher Hochschild homology as a functor
Vespa, C
Wednesday 5th December 2018  10:00 to 11:00
Higher Hochschild homology generalizes classical Hochschild homology for rings. Recently, Turchin and Willwacher computed higher Hochschild homology of a finite wedge of circles with coefficients in the Loday functor associated to the ring of dual numbers over the rationals. In particular, they obtained linear representations of the groups Out(F_n) which do not factorize through GL(n,Z). In this talk I will explain how viewing higher Hochschild homology of a finite wedge of circles as a functor on the category of free groups provides a conceptual framework which allows powerful tools such as exponential functors and polynomial functors to be brought to bear. In particular, this allows the generalization of the results of Turchin and Willwacher; this gives rise to new linear representations of Out(F_n) which do not factorize through GL(n,Z). (This is joint work with Geoffrey Powell.)
20181205T15:51:21+00:00
3579
2878776
true
16x9
false
no

Higher Segal spaces (1)
ucs_sms_2781281_2781345
http://sms.cam.ac.uk/media/2781345
Higher Segal spaces (1)
Dyckerhoff, T
Monday 2nd July 2018  13:30 to 14:30
Tue, 03 Jul 2018 13:11:49 +0100
Isaac Newton Institute
Dyckerhoff, T
4377547ded0c0264eaa3d32d868c5204
77dbbc93f44131fd6435aeb1772bb226
9e20b2daaa5af8209abab988044b6e87
6a39dcd13e00bb6f0f26acfb6918eea2
Dyckerhoff, T
Monday 2nd July 2018  13:30 to 14:30
Dyckerhoff, T
Monday 2nd July 2018  13:30 to 14:30
Cambridge University
4020
http://sms.cam.ac.uk/media/2781345
Higher Segal spaces (1)
Dyckerhoff, T
Monday 2nd July 2018  13:30 to 14:30
20180703T13:11:49+01:00
4020
2781345
true
16x9
false
no

Higher Segal spaces (2)
ucs_sms_2781281_2781951
http://sms.cam.ac.uk/media/2781951
Higher Segal spaces (2)
Dyckerhoff, T
Tuesday 3rd July 2018  13:30 to 14:30
Wed, 04 Jul 2018 14:13:09 +0100
Isaac Newton Institute
Dyckerhoff, T
89da7d9638aed660784f988eaf3c720e
cacce23101c5315cf24ca2b8e77e348a
8e955b0193bbb9cd05a0f2226e7eb025
67c56d912ebca0c1b9a7520081b3ca5c
Dyckerhoff, T
Tuesday 3rd July 2018  13:30 to 14:30
Dyckerhoff, T
Tuesday 3rd July 2018  13:30 to 14:30
Cambridge University
3582
http://sms.cam.ac.uk/media/2781951
Higher Segal spaces (2)
Dyckerhoff, T
Tuesday 3rd July 2018  13:30 to 14:30
20180704T14:13:10+01:00
3582
2781951
true
16x9
false
no

Hochschild homology for Green functors
ucs_sms_2781281_2809596
http://sms.cam.ac.uk/media/2809596
Hochschild homology for Green functors
Gerhardt, T
Wednesday 15th August 2018  11:30 to 12:30
Thu, 16 Aug 2018 13:23:44 +0100
Isaac Newton Institute
Gerhardt, T
e7dd6103c8154f3616b10c2277ba47eb
1bae716b0e28ceabfc104db54ed9b260
2a57204e2687522c5ca3385020227eaa
78481283ce14d23127c3cc86d7ab36fc
Gerhardt, T
Wednesday 15th August 2018  11:30 to 12:30
Gerhardt, T
Wednesday 15th August 2018  11:30 to 12:30
Cambridge University
3960
http://sms.cam.ac.uk/media/2809596
Hochschild homology for Green functors
Gerhardt, T
Wednesday 15th August 2018  11:30 to 12:30
Hochschild homology of a ring has a topological analogue for ring spectra, topological Hochschild homology (THH), which plays an essential role in the trace method approach to algebraic Ktheory. For a C_nequivariant ring spectrum, one can define C_nrelative THH. This leads to the question: What is the algebraic analogue of C_nrelative THH? In this talk, I will define twisted Hochschild homology for Green functors, which allows us to describe this algebraic analogue. This also leads to a theory of Witt vectors for Green functors, as well as an algebraic analogue of TRtheory. This is joint work with Andrew Blumberg, Mike Hill, and Tyler Lawson.
20180816T13:23:44+01:00
3960
2809596
true
16x9
false
no

Homotopy fixed points by finite pgroup actions on classifying spaces of fusion systems
ucs_sms_2781281_2860721
http://sms.cam.ac.uk/media/2860721
Homotopy fixed points by finite pgroup actions on classifying spaces of fusion systems
Broto, C
Tuesday 6th November 2018  14:00 to 15:00
Wed, 07 Nov 2018 14:44:12 +0000
Isaac Newton Institute
Broto, C
6e83755823ec87a569ee67b8a48d3a39
dcadda2971b28c8934b36417ac6eb268
1659a5f8a2d3f4cd9d03446f1664e559
771fdfda59c9b522ab7af3172e827eeb
Broto, C
Tuesday 6th November 2018  14:00 to 15:00
Broto, C
Tuesday 6th November 2018  14:00 to 15:00
Cambridge University
3660
http://sms.cam.ac.uk/media/2860721
Homotopy fixed points by finite pgroup actions on classifying spaces of fusion systems
Broto, C
Tuesday 6th November 2018  14:00 to 15:00
20181107T14:44:12+00:00
3660
2860721
true
16x9
false
no

Homotopy invariance in string topology
ucs_sms_2781281_2878762
http://sms.cam.ac.uk/media/2878762
Homotopy invariance in string topology
Wahl, N
Tuesday 4th December 2018  16:00 to 17:00
Wed, 05 Dec 2018 15:43:53 +0000
Isaac Newton Institute
Wahl, N
e018eadbeaf575cd18f63bd3875d688d
0b3bdce9162c4cc2e1bf1cfa9cb7fccc
953981286f0e3be031383333f47b6efd
476488820cdfed2e5bd9f482bf1ddadc
Wahl, N
Tuesday 4th December 2018  16:00 to 17:00
Wahl, N
Tuesday 4th December 2018  16:00 to 17:00
Cambridge University
3496
http://sms.cam.ac.uk/media/2878762
Homotopy invariance in string topology
Wahl, N
Tuesday 4th December 2018  16:00 to 17:00
In joint work with Nancy Hingston, we show that the GoreskyHingston coproduct, just like the ChasSullivan product, is homotopy invariant. Unlike the ChasSullivan product, this coproduct is a "compactified operation", coming from a certain compactification of the moduli space of Riemann surfaces. I'll give an idea of the ingredients used in the proof.
20181205T15:43:53+00:00
3496
2878762
true
16x9
false
no

http://www.newton.ac.uk/seminar/20180815090010001
ucs_sms_2781281_2809582
http://sms.cam.ac.uk/media/2809582
http://www.newton.ac.uk/seminar/20180815090010001
Ravenel, D
Wednesday 15th August 2018  09:00 to 10:00
Thu, 16 Aug 2018 14:30:26 +0100
Isaac Newton Institute
Ravenel, D
b6e46ff97dc0a94456e5bdcb2b3a6cb1
ad30e45344492847089566c5d74892dd
be1cdfdcb774d4d608273d8308358810
788773b84c53fda99db2630ae94627c3
Ravenel, D
Wednesday 15th August 2018  09:00 to 10:00
Ravenel, D
Wednesday 15th August 2018  09:00 to 10:00
Cambridge University
3573
http://sms.cam.ac.uk/media/2809582
http://www.newton.ac.uk/seminar/20180815090010001
Ravenel, D
Wednesday 15th August 2018  09:00 to 10:00
We will discuss methods for constructing a model structure the category of orthogonal equivariant spectra for a finite group G. The most convenient one is two large steps away from the most obvious one.
20180816T14:30:26+01:00
3573
2809582
true
16x9
false
no

Isovariant homotopy theory
ucs_sms_2781281_2781360
http://sms.cam.ac.uk/media/2781360
Isovariant homotopy theory
Yeakel, S
Monday 2nd July 2018  16:00 to 17:00
Tue, 03 Jul 2018 13:16:47 +0100
Isaac Newton Institute
Yeakel, S
1a6a4f138db81c673e5d5f18874ccd5f
b1a8c7b4dd88e69589bcebaf64c30f73
ad6c0723da8ca007f0798cc428c2cddd
1be8dcfe1bbb14739934d72798f0448d
Yeakel, S
Monday 2nd July 2018  16:00 to 17:00
Yeakel, S
Monday 2nd July 2018  16:00 to 17:00
Cambridge University
3660
http://sms.cam.ac.uk/media/2781360
Isovariant homotopy theory
Yeakel, S
Monday 2nd July 2018  16:00 to 17:00
An isovariant map between Gspaces is an equivariant map which preserves isotropy groups. Isovariant homotopy theory appears in situations where homotopy is applied to geometric problems, for example, in surgery theory. We will describe some new results in isovariant homotopy theory, including two model structures and an application to intersection theory. This is work in progress, based on conversations with Cary Malkiewich, Mona Merling, and Kate Ponto.
20180703T13:16:47+01:00
3660
2781360
true
16x9
false
no

K(n)local homotopy from a Galois theory perspective 1
ucs_sms_2781281_2834179
http://sms.cam.ac.uk/media/2834179
K(n)local homotopy from a Galois theory perspective 1
Beaudry, A
Monday 24th September 2018  10:00 to 11:00
Wed, 26 Sep 2018 14:58:33 +0100
Isaac Newton Institute
Beaudry, A
4d76e313019f94f41e23285b2a8d6bb0
1e0a4e7f6867ab8f311e5ae92919e6be
f20417689e8d02133c46394e6c18d2b1
c5a6aad922567af0943abca1d8bd6d01
Beaudry, A
Monday 24th September 2018  10:00 to 11:00
Beaudry, A
Monday 24th September 2018  10:00 to 11:00
Cambridge University
4260
http://sms.cam.ac.uk/media/2834179
K(n)local homotopy from a Galois theory perspective 1
Beaudry, A
Monday 24th September 2018  10:00 to 11:00
The goal of these two talks is to give an overview of a perspective on K(n)local homotopy theory that lends itself to computations. I will introduce some of the key players of the workshop such as the Morava K and Etheories. The introduction will emphasize the Galois theory inherent to the situation and be designed to lead us to consider finite resolutions of the K(n)local sphere. I will then explain how these perspectives have helped us gain a better understanding on problems in chromatic homotopy theory such as the study of invertible elements and chromatic reassembly.
20180926T14:58:33+01:00
4260
2834179
true
16x9
false
no

Ktheory of cusps
ucs_sms_2781281_2851328
http://sms.cam.ac.uk/media/2851328
Ktheory of cusps
Hesselholt, L
Tuesday 23rd October 2018  15:30 to 16:30
Wed, 24 Oct 2018 16:23:28 +0100
Isaac Newton Institute
Hesselholt, L
fbdb37e29e0bbab4e7e3714e23a0bd1b
a7028a662cf7bc09627cb5a1333252a1
2284cb7e1ed5c8381756006264696911
eeebff906789d21659f2bd56bd6bbb0a
Hesselholt, L
Tuesday 23rd October 2018  15:30 to 16:30
Hesselholt, L
Tuesday 23rd October 2018  15:30 to 16:30
Cambridge University
4080
http://sms.cam.ac.uk/media/2851328
Ktheory of cusps
Hesselholt, L
Tuesday 23rd October 2018  15:30 to 16:30
In the early nineties, the Buonos Aires Cyclic Homology group calculated the Hochschild and cyclic homology of hypersurfaces, in general, and of the coordinate rings of planar cuspical curves, in particular. With Cortiñas' birelative theorem, proved in 2005, this gives a calculation of the relative Ktheory of planar cuspical curves over a field of characteristic zero. By a padic version of Cortiñas' theorem, proved by Geisser and myself in 2006, the relative Kgroups of planar cuspical curves over a perfect field of characteristic p > 0 can similarly be expressed in terms of topological cyclic homology, but the relevant topological cyclic homology groups have resisted calculation. In this talk, I will show that the new setup for topological cyclic homology by Nikolaus and Scholze has made this calculation possible. This is joint work with Nikolaus and similar results have been obtained by Angeltveit.
20181024T16:23:28+01:00
4080
2851328
true
16x9
false
no

Klein fourslices of HF_2
ucs_sms_2781281_2811608
http://sms.cam.ac.uk/media/2811608
Klein fourslices of HF_2
Yarnall, C
Friday 17th August 2018  10:00 to 11:00
Mon, 20 Aug 2018 09:32:37 +0100
Isaac Newton Institute
Yarnall, C
57a72b1a36ca1f5d24ec24b54615f4d1
230f2babf332abe00e8cf61bc01e7869
79fa6dba20a968bffdc01927b94e0699
f1d8b2f548bf43b76032290b2101c859
Yarnall, C
Friday 17th August 2018  10:00 to 11:00
Yarnall, C
Friday 17th August 2018  10:00 to 11:00
Cambridge University
3600
http://sms.cam.ac.uk/media/2811608
Klein fourslices of HF_2
Yarnall, C
Friday 17th August 2018  10:00 to 11:00
The slice filtration is a filtration of equivariant spectra analogous to the Postnikov tower that was developed by Hill, Hopkins, and Ravenel in their solution to the Kervaire invariantone problem. Since that time there have been several new developments, many dealing with cyclic groups. In this talk, we will focus our attention on a noncyclic group! After recalling a few essential definitions and previous results, we will investigate some computational tools that allow us to leverage homotopy results of HollerKriz to determine the slices of integer suspensions of HF_2 when our group is the Klein four group. We will end with a few slice tower and spectral sequence examples demonstrating the patterns that arise in the filtration. This is joint work with Bert Guillou.
20180820T09:32:37+01:00
3600
2811608
true
16x9
false
no

Lie algebras and v_nperiodic spaces
ucs_sms_2781281_2835402
http://sms.cam.ac.uk/media/2835402
Lie algebras and v_nperiodic spaces
Heuts, G
Thursday 27th September 2018  14:30 to 15:30
Fri, 28 Sep 2018 09:07:31 +0100
Isaac Newton Institute
Heuts, G
dfb1d87f10f4fac3c4ccafe862170f29
211d3550aee4ea4f557d71408e410e7b
e7944186501d1b61089913ecf59e2b60
66c93dcbef416b53c2fa265270cf0142
Heuts, G
Thursday 27th September 2018  14:30 to 15:30
Heuts, G
Thursday 27th September 2018  14:30 to 15:30
Cambridge University
3780
http://sms.cam.ac.uk/media/2835402
Lie algebras and v_nperiodic spaces
Heuts, G
Thursday 27th September 2018  14:30 to 15:30
20180928T09:07:31+01:00
3780
2835402
true
16x9
false
no

More about the slice filtration and slice spectral sequence
ucs_sms_2781281_2876935
http://sms.cam.ac.uk/media/2876935
More about the slice filtration and slice spectral sequence
Ravenel, D
Friday 30th November 2018  14:00 to 15:00
Mon, 03 Dec 2018 12:17:53 +0000
Isaac Newton Institute
Ravenel, D
43a941a405ec818dc37118e5d26182cb
a43298486599ad2d89d55dde38163250
e7ac411b462d8ef67d85a7ff5f91916f
d9a811589ef45ad05610e201c17c79e7
Ravenel, D
Friday 30th November 2018  14:00 to 15:00
Ravenel, D
Friday 30th November 2018  14:00 to 15:00
Cambridge University
3600
http://sms.cam.ac.uk/media/2876935
More about the slice filtration and slice spectral sequence
Ravenel, D
Friday 30th November 2018  14:00 to 15:00
20181203T12:17:53+00:00
3600
2876935
true
16x9
false
no

Motivic Ctaumodules and Stable Homotopy Groups of Spheres
ucs_sms_2781281_2837329
http://sms.cam.ac.uk/media/2837329
Motivic Ctaumodules and Stable Homotopy Groups of Spheres
Xu, Z
Friday 28th September 2018  10:00 to 11:00
Tue, 02 Oct 2018 09:27:48 +0100
Isaac Newton Institute
Xu, Z
135bf47188701ea844a5f1f979e1c04f
861a88a191dc6f30b25d8402a91e2f86
430607b4fa4249ff488cc1ef4da51803
44f40ddf8e2808198f5019f5452768cb
Xu, Z
Friday 28th September 2018  10:00 to 11:00
Xu, Z
Friday 28th September 2018  10:00 to 11:00
Cambridge University
3548
http://sms.cam.ac.uk/media/2837329
Motivic Ctaumodules and Stable Homotopy Groups of Spheres
Xu, Z
Friday 28th September 2018  10:00 to 11:00
I will discuss the equivalence of stable infinity categories, between the motivic Ctaumodules over the complex numbers and the derived category of BP_*BPcomodules. As a consequence, the motivic Adams spectral sequence for Ctau is isomorphic to the algebraic Novikov spectral sequence. This isomorphism of spectral sequences allows computations of classical stable stems at least to the 90stem, with ongoing computations into even higher dimensions. I will also discuss the situation in the real motivic world, and some connections to the new Doomsday Conjecture, if time permits. This is joint work with Mark Behrens, Bogdan Gheorghe, Dan Isaksen and Guozhen Wang.
20181002T09:27:49+01:00
3548
2837329
true
16x9
false
no

Motivic infinite loop spaces and Hilbert schemes
ucs_sms_2781281_2809033
http://sms.cam.ac.uk/media/2809033
Motivic infinite loop spaces and Hilbert schemes
Hoyois, M
Tuesday 14th August 2018  14:30 to 15:30
Wed, 15 Aug 2018 13:21:52 +0100
Isaac Newton Institute
Hoyois, M
ac9755ec28e6230c9840d579a1554c5b
5336d2908d19cacc6636964ddd57cfe6
0f2fa4413e688c3600d8f440989fb1c5
cb15fc268fbe2d25f0903da01cc4e52c
Hoyois, M
Tuesday 14th August 2018  14:30 to 15:30
Hoyois, M
Tuesday 14th August 2018  14:30 to 15:30
Cambridge University
3720
http://sms.cam.ac.uk/media/2809033
Motivic infinite loop spaces and Hilbert schemes
Hoyois, M
Tuesday 14th August 2018  14:30 to 15:30
Coauthors: Elden Elmanto (Northwestern University), Adeel A. Khan (Universität Regensburg), Vladimir Sosnilo (St. Petersburg State University), Maria Yakerson (Universität DuisburgEssen)
We prove a recognition principle for motivic infinite loop spaces over a perfect field of characteristic not 2. This is achieved by developing a theory of framed motivic spaces, which is a motivic analogue of the theory of Einfinityspaces. Our main result is that grouplike framed motivic spaces are equivalent to the full subcategory of motivic spectra generated under colimits by suspension spectra. As a consequence, we deduce some representability results for suspension spectra of smooth varieties and various motivic Thom spectra in terms of Hilbert schemes of points in affine spaces.
Related Links
https://arxiv.org/abs/1711.05248  preprint
20180815T13:21:53+01:00
3720
2809033
true
16x9
false
no

Motivic normed spectra and Tambara functors
ucs_sms_2781281_2810234
http://sms.cam.ac.uk/media/2810234
Motivic normed spectra and Tambara functors
Bachmann, T
Thursday 16th August 2018  10:00 to 11:00
Fri, 17 Aug 2018 15:48:40 +0100
Isaac Newton Institute
Bachmann, T
35acb5635ec19578007ac80224c0ee8b
15906d8fe772d3c587ab25e1c212653b
6ee0e65821ef32ab12af5afdd8a044cd
c62a7e17c8e89076420c56098c5baaeb
Bachmann, T
Thursday 16th August 2018  10:00 to 11:00
Bachmann, T
Thursday 16th August 2018  10:00 to 11:00
Cambridge University
3960
http://sms.cam.ac.uk/media/2810234
Motivic normed spectra and Tambara functors
Bachmann, T
Thursday 16th August 2018  10:00 to 11:00
Motivic normed spectra are a motivic analogue of the Gcommutative ring spectra from genuine equivariant stable homotopy theory. The category of Gcommutative ring spectra such that the underlying genuine equivariant spectrum is concentrated in degree zero (i.e. is a Mackey functor) is in fact equivalent to the category of GTambara functors. I will explain an analogous motivic result: the category of normed motivic spectra (over a field), such that the underlying motivic spectrum is an effective homotopy module, is equivalent to a category of homotopy invariant presheaves with generalized transfers and étale norms.
20180817T15:48:40+01:00
3960
2810234
true
16x9
false
no

On Suslin's Hurewicz homomorphism
ucs_sms_2781281_2811601
http://sms.cam.ac.uk/media/2811601
On Suslin's Hurewicz homomorphism
Asok, A
Friday 17th August 2018  09:00 to 10:00
Mon, 20 Aug 2018 09:30:41 +0100
Isaac Newton Institute
Asok, A
b9a24e860ea0887364c1b39282bc48bb
5706f2d4ccaae354a91546a9cb6393b5
0d8139df4b5b49ade54968a25d7a8a79
b9ab616b16adbf1772894aa41d19a848
Asok, A
Friday 17th August 2018  09:00 to 10:00
Asok, A
Friday 17th August 2018  09:00 to 10:00
Cambridge University
3780
http://sms.cam.ac.uk/media/2811601
On Suslin's Hurewicz homomorphism
Asok, A
Friday 17th August 2018  09:00 to 10:00
I will discuss some recent progress on an old conjecture of Suslin about the image of a certain ``Hurewicz" map from Quillen's algebraic Ktheory of a field F to the Milnor Ktheory of F. This is based on joint work with J. Fasel and T.B. Williams.
20180820T09:30:41+01:00
3780
2811601
true
16x9
false
no

On the Ktheory of pullbacks
ucs_sms_2781281_2807597
http://sms.cam.ac.uk/media/2807597
On the Ktheory of pullbacks
Land, M
Friday 10th August 2018  14:00 to 15:00
Mon, 13 Aug 2018 13:04:19 +0100
Isaac Newton Institute
Land, M
ff61f923412973c30b5a3a6a1c9580ed
469810a77d213ba344805e6d28ae3dad
a5a4f53c85d64a9970759b0e0bda61e0
470d4ead9e1b184ffbe5ccfadd7261ed
Land, M
Friday 10th August 2018  14:00 to 15:00
Land, M
Friday 10th August 2018  14:00 to 15:00
Cambridge University
4080
http://sms.cam.ac.uk/media/2807597
On the Ktheory of pullbacks
Land, M
Friday 10th August 2018  14:00 to 15:00
In this talk I will report on joint work with Georg Tamme about excision results in Ktheory and related invariants. We show that, associated to any pullback square of E_1 ring spectra, there is an associated pullback diagram of Ktheory spectra in which one of the corners is the Ktheory of a new E_1 ring canonically associated to the original pullback diagram. I will explain the main ingredients for the proof and then concentrate on simple consequences of this theorem. These include Suslin’s results on excision (for Torunital ideals) and the fact that (what we call) truncating invariants satisfy excision, nil invariance and cdh descent. If time permits I will also discuss how to deduce that in certain cases (bi)relative Kgroups are torsion groups of bounded exponent, improving results of Geisser—Hesselholt.
20180813T13:04:20+01:00
4080
2807597
true
16x9
false
no

On the stable Cannon Conjecture
ucs_sms_2781281_2878741
http://sms.cam.ac.uk/media/2878741
On the stable Cannon Conjecture
Lueck, W
Tuesday 4th December 2018  09:00 to 10:00
Wed, 05 Dec 2018 15:35:31 +0000
Isaac Newton Institute
Lueck, W
8e581d2935750a237d7d2ccb4fdcb299
a15cab42a3011a85dff342fcf1dee604
7eaa0aa98de9906e408c98a58fe63b31
1ff255491b94ae9dec6c543bbe2bf4d3
Lueck, W
Tuesday 4th December 2018  09:00 to 10:00
Lueck, W
Tuesday 4th December 2018  09:00 to 10:00
Cambridge University
3399
http://sms.cam.ac.uk/media/2878741
On the stable Cannon Conjecture
Lueck, W
Tuesday 4th December 2018  09:00 to 10:00
The Cannon Conjecture for a torsionfree hyperbolic group G with boundary homeomorphic to S2 says that G is the fundamental group of an aspherical closed 3manifold M. It is known that then M is a hyperbolic 3manifold. We prove the stable version that for any closed manifold N of dimension greater or equal to 2 there exists a closed manifold M together with a simple homotopy equivalence M→N×BG. If N is aspherical and π1(N) satisfies the FarrellJones Conjecture, then M is unique up to homeomorphism. This is joint work with Ferry and Weinberger.
20181205T15:35:32+00:00
3399
2878741
true
16x9
false
no

On the topological Hochschild homology of JohnsonWilson spectra
ucs_sms_2781281_2834193
http://sms.cam.ac.uk/media/2834193
On the topological Hochschild homology of JohnsonWilson spectra
Ausoni, C
Monday 24th September 2018  14:30 to 15:30
Wed, 26 Sep 2018 14:55:04 +0100
Isaac Newton Institute
Ausoni, C
a3c510b402563c1f9d56c0ca71ef221b
6382da482a2be32625fd1248d9d499a4
b45b56f2511123eea30dbd519e84baab
e4036e62271a34a4dd97348ec0ce0b02
Ausoni, C
Monday 24th September 2018  14:30 to 15:30
Ausoni, C
Monday 24th September 2018  14:30 to 15:30
Cambridge University
3780
http://sms.cam.ac.uk/media/2834193
On the topological Hochschild homology of JohnsonWilson spectra
Ausoni, C
Monday 24th September 2018  14:30 to 15:30
Let E(n) denote the nth JohnsonWilson spectrum at an odd prime p. The spectrum E(1) coincides with the Adams summand of plocal topological Ktheory. McClure and Staffeldt offered an intriguing computation of THH(E(1)), showing that it splits as a wedge sum of E(1) and a rationalized suspension of E(1). In joint work with Birgit Richter, we study the Morava Ktheories of THH(E(n)), with an aim at investigating if McClureStaffeldt's splitting in lower chromatic pieces generalizes. Under the assumption that E(2) is commutative, we show that THH(E(2)) splits as a wedge sum of E(2) and its lower chromatic localizations.
20180926T14:55:05+01:00
3780
2834193
true
16x9
false
no

On very effective hermitian Ktheory
ucs_sms_2781281_2809589
http://sms.cam.ac.uk/media/2809589
On very effective hermitian Ktheory
Roendigs, O
Wednesday 15th August 2018  10:00 to 11:00
Thu, 16 Aug 2018 13:20:17 +0100
Isaac Newton Institute
Roendigs, O
10f05ce0161e8841afdcebb521bdb54d
b1a509e1da99d4b7bdedf3d18a405a3d
44c2ef49711f36a8dcb1035df21ccf7a
9e7358c7f5639bc2cd9af4e1b15d91cf
Roendigs, O
Wednesday 15th August 2018  10:00 to 11:00
Roendigs, O
Wednesday 15th August 2018  10:00 to 11:00
Cambridge University
3600
http://sms.cam.ac.uk/media/2809589
On very effective hermitian Ktheory
Roendigs, O
Wednesday 15th August 2018  10:00 to 11:00
We argue that the very effective cover of hermitian Ktheory in the sense of motivic homotopy theory is a convenient algebrogeometric generalization of the connective real topological Ktheory spectrum. This means the very effective cover acquires the correct Betti realization, its motivic cohomology has the desired structure as a module over the motivic Steenrod algebra, and that its motivic Adams and slice spectral sequences are amenable to calculations. The latter applies to provide the expected connectivity for its unit map from the motivic sphere spectrum. This is joint work with Alexey Ananyevskiy and Paul Arne Ostvaer.
20180816T13:20:18+01:00
3600
2809589
true
16x9
false
no

Orthogonal GSpectra I
ucs_sms_2781281_2864706
http://sms.cam.ac.uk/media/2864706
Orthogonal GSpectra I
Ravenel, D
Monday 15th October 2018  14:00 to 15:00
Tue, 13 Nov 2018 12:26:35 +0000
Isaac Newton Institute
Ravenel, D
f014f2f158fb3f5fd072b1c509e48792
daf23680c5b98c7296e310da1f5e810c
fb5c377b1583afdd6d2c75764717ce26
002b39f7aa931a1814c49b65ec636c37
Ravenel, D
Monday 15th October 2018  14:00 to 15:00
Ravenel, D
Monday 15th October 2018  14:00 to 15:00
Cambridge University
3204
http://sms.cam.ac.uk/media/2864706
Orthogonal GSpectra I
Ravenel, D
Monday 15th October 2018  14:00 to 15:00
20181113T12:26:35+00:00
3204
2864706
true
16x9
false
no

Orthogonal GSpectra II
ucs_sms_2781281_2864713
http://sms.cam.ac.uk/media/2864713
Orthogonal GSpectra II
Ravenel, D
Wednesday 17th October 2018  14:00 to 15:00
Tue, 13 Nov 2018 12:28:00 +0000
Isaac Newton Institute
Ravenel, D
dfc297cd7e54ea1265644a71f2eda172
b74f395b0a9faed314acae47f9041188
e070aa0c470933aef139a7bc9dcf916f
7d4a841e1bb51b8f301e1b0e123220a9
Ravenel, D
Wednesday 17th October 2018  14:00 to 15:00
Ravenel, D
Wednesday 17th October 2018  14:00 to 15:00
Cambridge University
3011
http://sms.cam.ac.uk/media/2864713
Orthogonal GSpectra II
Ravenel, D
Wednesday 17th October 2018  14:00 to 15:00
20181113T12:28:00+00:00
3011
2864713
true
16x9
false
no

Orthogonal group and adjoints
ucs_sms_2781281_2875489
http://sms.cam.ac.uk/media/2875489
Orthogonal group and adjoints
Ayala, D
Tuesday 27th November 2018  15:30 to 16:30
Fri, 30 Nov 2018 14:27:20 +0000
Isaac Newton Institute
Ayala, D
6709516cce3d78d7b510a33afb20e55a
895f9a11e3ff9f825d9e35d984be5cf6
b2d43f8a658f8e1ba7a3f850eb396b21
9f0dec542b56b6d65d5a3069a0882c51
Ayala, D
Tuesday 27th November 2018  15:30 to 16:30
Ayala, D
Tuesday 27th November 2018  15:30 to 16:30
Cambridge University
3720
http://sms.cam.ac.uk/media/2875489
Orthogonal group and adjoints
Ayala, D
Tuesday 27th November 2018  15:30 to 16:30
In this talk I will articulate and contextualize the following sequence of results. The Bruhat decomposition of the general linear group defines a stratification of the orthogonal group.Matrix multiplication defines an algebra structure on its exitpath category in a certain Morita category of categories. In this Morita category, this algebra acts on the category of ncategories  this action is given by adjoining adjoints to ncategories. This result is extracted from a larger program  entirely joint with John Francis, some parts joint with Nick Rozenblyum  which proves the cobordism hypothesis.
20181130T14:27:20+00:00
3720
2875489
true
16x9
false
no

Outlining the Proof of the Kervaire Invariant Theorem
ucs_sms_2781281_2864720
http://sms.cam.ac.uk/media/2864720
Outlining the Proof of the Kervaire Invariant Theorem
Ravenel, D
Monday 12th November 2018  14:00 to 15:00
Tue, 13 Nov 2018 12:34:12 +0000
Isaac Newton Institute
Ravenel, D
bd3b03535be16402bc74cfd1bcb0a71a
20d375ed7a9962dd753199a8dc7c367a
70245e378435afe99b5622a01304b94e
49b83507533bde34abbe5a4084c94036
Ravenel, D
Monday 12th November 2018  14:00 to 15:00
Ravenel, D
Monday 12th November 2018  14:00 to 15:00
Cambridge University
3960
http://sms.cam.ac.uk/media/2864720
Outlining the Proof of the Kervaire Invariant Theorem
Ravenel, D
Monday 12th November 2018  14:00 to 15:00
20181113T12:34:12+00:00
3960
2864720
true
16x9
false
no

Parametrised homotopy theory via symmetric retractive spectra
ucs_sms_2781281_2814176
http://sms.cam.ac.uk/media/2814176
Parametrised homotopy theory via symmetric retractive spectra
Hebestreit, F
Tuesday 21st August 2018  15:30 to 16:30
Thu, 23 Aug 2018 12:45:44 +0100
Isaac Newton Institute
Hebestreit, F
5d71827e94fba32fa1b50b6a687bdc05
fd2eb864b1fc4a4c90994b1edfd8447f
c979355a45d3b9ea31c7773bf602ccd0
27e265dc01dfee7dce0cee06014feb81
Hebestreit, F
Tuesday 21st August 2018  15:30 to 16:30
Hebestreit, F
Tuesday 21st August 2018  15:30 to 16:30
Cambridge University
3720
http://sms.cam.ac.uk/media/2814176
Parametrised homotopy theory via symmetric retractive spectra
Hebestreit, F
Tuesday 21st August 2018  15:30 to 16:30
I shall explain a new framework for parametrised homotopy theory, based on symmetric spectra objects in retractive spaces. In contrast to previous model categorical frameworks it encompasses a wellbehaved symmetric monoidal structure, that models the Dayconvolution present in the quasicategorical setup. As a small application I will give a simple proof, that Ktheory as defined through stable homotopy theory agrees with the original geometric construction (even as highly structured objects), a fact that seems to be missing from the literature so far.
20180823T12:45:44+01:00
3720
2814176
true
16x9
false
no

Periodic points and topological restriction homology
ucs_sms_2781281_2878769
http://sms.cam.ac.uk/media/2878769
Periodic points and topological restriction homology
Malkiewich, C
Wednesday 5th December 2018  09:00 to 10:00
Wed, 05 Dec 2018 15:48:57 +0000
Isaac Newton Institute
Malkiewich, C
df66e790ef568400e45128d6d600f492
427f7342553e17f39a2ad0eff2181596
de2cc0c5dc2153b741768789e7bafc93
b167abca566742f38a09736d4395e1c9
Malkiewich, C
Wednesday 5th December 2018  09:00 to 10:00
Malkiewich, C
Wednesday 5th December 2018  09:00 to 10:00
Cambridge University
3720
http://sms.cam.ac.uk/media/2878769
Periodic points and topological restriction homology
Malkiewich, C
Wednesday 5th December 2018  09:00 to 10:00
I will talk about a project to import trace methods, usually reserved for algebraic Ktheory computations, into the study of periodic orbits of continuous dynamical systems (and viceversa). Our main result so far is that a certain fixedpoint invariant built using equivariant spectra can be "unwound" into a more classical invariant that detects periodic orbits. As a simple consequence, periodicpoint problems (i.e. finding a homotopy of a continuous map that removes its nperiodic orbits) can be reduced to equivariant fixedpoint problems. This answers a conjecture of Klein and Williams, and allows us to interpret their invariant as a class in topological restriction homology (TR), coinciding with a class defined earlier in the thesis of Iwashita and separately by Luck. This is joint work with Kate Ponto.
20181205T15:48:57+00:00
3720
2878769
true
16x9
false
no

Polynomial maps, Witt vectors and Real THH
ucs_sms_2781281_2834763
http://sms.cam.ac.uk/media/2834763
Polynomial maps, Witt vectors and Real THH
Patchkoria, I
Tuesday 11th September 2018  15:30 to 16:30
Thu, 27 Sep 2018 09:21:15 +0100
Isaac Newton Institute
Patchkoria, I
803559495a05368cec908cd3be34e6d4
06b431ee00dc1a613cb4210177ef492b
461ea3a51d3b5305c2185bb40f52ebbf
57de199863d91a3042a3882168d25271
Patchkoria, I
Tuesday 11th September 2018  15:30 to 16:30
Patchkoria, I
Tuesday 11th September 2018  15:30 to 16:30
Cambridge University
3840
http://sms.cam.ac.uk/media/2834763
Polynomial maps, Witt vectors and Real THH
Patchkoria, I
Tuesday 11th September 2018  15:30 to 16:30
A result of Hesselholt and Madsen asserts that the ring of components of the topological restriction homology (TR) is isomorphic to the ring of Witt vectors. Trying to prove a real analog of this result leads to a surprising algebraic fact: Witt vectors have an extra functoriality with respect to certain polynomial maps. In this talk we will discuss the extra functoriality and its applications to some problems in algebra and topology. This is joint work with E. Dotto and K. Moi.
20180927T09:21:15+01:00
3840
2834763
true
16x9
false
no

Positive scalar curvature metrics on manifolds with fibred singularities
ucs_sms_2781281_2886692
http://sms.cam.ac.uk/media/2886692
Positive scalar curvature metrics on manifolds with fibred singularities
Botvinnik, B
Tuesday 18th December 2018  14:00 to 15:00
Wed, 19 Dec 2018 14:41:56 +0000
Isaac Newton Institute
Botvinnik, B
a8a6b989041595cc9ebe18daffbe9806
91242a0ab66ecb80be06892542c9fcb2
0b203be7a602b5e8e5ee6097153d832f
4cd9f7d07853ae07e92176e3ef5d5ce7
Botvinnik, B
Tuesday 18th December 2018  14:00 to 15:00
Botvinnik, B
Tuesday 18th December 2018  14:00 to 15:00
Cambridge University
3573
http://sms.cam.ac.uk/media/2886692
Positive scalar curvature metrics on manifolds with fibred singularities
Botvinnik, B
Tuesday 18th December 2018  14:00 to 15:00
20181219T14:41:57+00:00
3573
2886692
true
16x9
false
no

Quadratic Welschinger invariants
ucs_sms_2781281_2809026
http://sms.cam.ac.uk/media/2809026
Quadratic Welschinger invariants
Levine, M
Tuesday 14th August 2018  09:00 to 10:00
Wed, 15 Aug 2018 13:20:55 +0100
Isaac Newton Institute
Levine, M
f8837489bf269bdbbf5be5403743f3c8
1b605000699797b8b43654e9155ad0b3
7b44b2ed18b29072fb685e57d378ae6e
1578e8d3a8a8f2d57af5786f674f9279
Levine, M
Tuesday 14th August 2018  09:00 to 10:00
Levine, M
Tuesday 14th August 2018  09:00 to 10:00
Cambridge University
3840
http://sms.cam.ac.uk/media/2809026
Quadratic Welschinger invariants
Levine, M
Tuesday 14th August 2018  09:00 to 10:00
This is report on part of a program to give refinements of numerical invariants arising in enumerative geometry to invariants living in the GrothendieckWitt ring over the basefield. Here we define an invariant in the GrothendieckWitt ring for ``counting'' rational curves. More precisely, for a del Pezzo surface S over a field k and a positive degree curve class D (with respect to the anticanonical class −KS), we define a class in the GrothendiekWitt ring of k, whose rank gives the number of rational curves in the class D containing a given collection of distinct closed points p=∑ipi of total degree −D⋅KS−1. This recovers Welschinger's invariants in case k=R by applying the signature map. The main result is that this quadratic invariant depends only on the A1connected component containing p in Sym3d−1(S)0(k), where Sym3d−1(S)0 is the open subscheme of Sym3d−1(S) parametrizing geometrically reduced 0cycles.
20180815T13:20:56+01:00
3840
2809026
true
16x9
false
no

Rational homotopy theory of automorphisms of manifolds
ucs_sms_2781281_2881207
http://sms.cam.ac.uk/media/2881207
Rational homotopy theory of automorphisms of manifolds
Berglund, A
Thursday 6th December 2018  09:00 to 10:00
Mon, 10 Dec 2018 09:45:12 +0000
Isaac Newton Institute
Berglund, A
b5a22697536d7d2549b6adeb032417d0
1dfc377394cdfa1f1f09019d2831a8b4
de702e685ebe389ee05243be4f330b88
0e74aa89fbda4c4427c8473ea7b77238
Berglund, A
Thursday 6th December 2018  09:00 to 10:00
Berglund, A
Thursday 6th December 2018  09:00 to 10:00
Cambridge University
3542
http://sms.cam.ac.uk/media/2881207
Rational homotopy theory of automorphisms of manifolds
Berglund, A
Thursday 6th December 2018  09:00 to 10:00
I will talk about differential graded Lie algebra models for automorphism groups of simply connected manifolds M. Earlier results by Ib Madsen and myself on models for block diffeomorphisms combined with rational models for Waldhausen's algebraic Ktheory of spaces suggest a model for the group of diffeomorphisms homotopic to the identity, valid in the socalled pseudoisotopy stable range. If time admits, I will also discuss how to express the generalized MillerMoritaMumford classes in the cohomology of BDiff(M) in terms of these models.
20181210T09:45:12+00:00
3542
2881207
true
16x9
false
no

Relative kappaclasses
ucs_sms_2781281_2881249
http://sms.cam.ac.uk/media/2881249
Relative kappaclasses
Crowley, D
Friday 7th December 2018  14:30 to 15:30
Mon, 10 Dec 2018 09:56:28 +0000
Isaac Newton Institute
Crowley, D
2909d0d1953a4e10a7f37a5e05f6f153
c9337f07a85fc6e21b04d79b2215af51
bc8b192d97b6b1ac66f1bf16092522fa
f785c492761620648ef3ad0f10f1d071
Crowley, D
Friday 7th December 2018  14:30 to 15:30
Crowley, D
Friday 7th December 2018  14:30 to 15:30
Cambridge University
3048
http://sms.cam.ac.uk/media/2881249
Relative kappaclasses
Crowley, D
Friday 7th December 2018  14:30 to 15:30
Diff(D^n), the the space of diffeomorphisms of the ndisc fixed near the boundary has rich rational topology. For example, Weiss's discovery of ``surreal'' Pontrjagin classes leads to the existence of rationally nontrivial homotopy classes in BDiff(D^n). For any smooth nmanifold M, extension by the identity induces a map BDiff(D^n) \to BDiff(M). In this talk I will report on joint work with Wolfgang Steimle and Thomas Schick, where we consider the problem of computing the image of the ``Weiss classes'' under the maps on homotopy and homology induced by extension. This problem naturally leads one to consider relative kappaclasses. Via relative kappaclasses, we show that the maps induced by extension are rationally nontrivial for a wide class of manifolds M, including aspherical manifolds (homology, hence also homotopy) and stably parallelisable manifolds (homotopy). When M is aspherical, our arguments rely on vanishing results for kappaclasses due to Hebestreit, Land, Lueck and RandalWilliams.
20181210T09:56:28+00:00
3048
2881249
true
16x9
false
no

Rothschild Lecture: Higher algebra and arithmetic  Monday 8th October 2018
ucs_sms_2781281_2841002
http://sms.cam.ac.uk/media/2841002
Rothschild Lecture: Higher algebra and arithmetic  Monday 8th October 2018
Hesselholt, L
Monday 8th October 2018  16:00 to 17:00
Tue, 09 Oct 2018 09:07:33 +0100
Isaac Newton Institute
Hesselholt, L
e4c29486216002a7df6a36fe0e83dcb6
84c93f203da0908ae07c20c8716d11c6
4fffd7e98c6b19ebaac6b72575fceaeb
f770116b40b0576bc256728044c9c312
Hesselholt, L
Monday 8th October 2018  16:00 to 17:00
Hesselholt, L
Monday 8th October 2018  16:00 to 17:00
Cambridge University
3900
http://sms.cam.ac.uk/media/2841002
Rothschild Lecture: Higher algebra and arithmetic  Monday 8th October 2018
Hesselholt, L
Monday 8th October 2018  16:00 to 17:00
This talk concerns a twentythousandyear old mistake: The natural numbers record only the result of counting and not the process of counting. As algebra is rooted in the natural numbers, the higher of Joyal and Lurie is rooted in a more basic notion of number which also records the process of counting. Long advocated by Waldhausen, the arithmetic of these more basic numbers should eliminate denominators. Notable manifestations of this vision include the BökstedtHsiangMadsen topological cyclic homology, which receives a denominatorfree Chern character, and the related BhattMorrowScholze integral padic Hodge theory, which makes it possible to exploit torsion cohomology classes in arithmetic geometry. Moreover, for schemes smooth and proper over a finite field, the analogue of de Rham cohomology in this setting naturally gives rise to a cohomological interpretation of the HasseWeil zeta function by regularized determinants, as envisioned by Deninger.
20181009T09:07:33+01:00
3900
2841002
true
16x9
false
no

Slopes in homological stability, the classical way
ucs_sms_2781281_2834784
http://sms.cam.ac.uk/media/2834784
Slopes in homological stability, the classical way
Wahl, N
Tuesday 18th September 2018  15:30 to 16:30
Thu, 27 Sep 2018 09:26:58 +0100
Isaac Newton Institute
Wahl, N
7b02d84e5b284552de49d67bf828fcd3
b3f4d8bb4196fcf88ee0486893c2a205
28d6af2d04883eb41130edefe9a0f862
bc1c5588a09ec8d8fb4880a8424b162c
Wahl, N
Tuesday 18th September 2018  15:30 to 16:30
Wahl, N
Tuesday 18th September 2018  15:30 to 16:30
Cambridge University
3720
http://sms.cam.ac.uk/media/2834784
Slopes in homological stability, the classical way
Wahl, N
Tuesday 18th September 2018  15:30 to 16:30
In joint work with David Sprehn, we prove homological stability with "slope 1" for symplectic, orthogonal and unitary groups over fields other than F_2, following an argument of Quillen for general linear groups. Stability with slope 2 has long been known for all four types of groups over very general rings by a similar, though not equal, argument. I'll present these results and give an overview of the players in such homological stability arguments
20180927T09:26:58+01:00
3720
2834784
true
16x9
false
no

Some prospects with the splicing operad
ucs_sms_2781281_2881242
http://sms.cam.ac.uk/media/2881242
Some prospects with the splicing operad
Budney, R
Friday 7th December 2018  13:30 to 14:30
Mon, 10 Dec 2018 09:57:34 +0000
Isaac Newton Institute
Budney, R
8391e77bcb47e00f3fe69d174f128342
51929e6ffa261a6df8902b4f8c3f5c96
6c71ddccb2b99430b1eae409d3a9fe3e
547de2170a44b34dcd09cddd110b1b57
Budney, R
Friday 7th December 2018  13:30 to 14:30
Budney, R
Friday 7th December 2018  13:30 to 14:30
Cambridge University
3522
http://sms.cam.ac.uk/media/2881242
Some prospects with the splicing operad
Budney, R
Friday 7th December 2018  13:30 to 14:30
Roughly six years ago I described an operad that acts on spaces of `long knots'. This is the space of smooth embeddings of R^j into R^n. The embeddings are required to be standard (linear) outside of a disc, and come equipped with a trivialisation of their normal bundles. This splicing operad gives a remarkably compact description of the homotopytype of the space of classical long knots (j=1, n=3), that meshes well with the machinery of 3manifold theory: JSJdecompositions and geometrization. What remains to be seen is how useful this splicing operad might be when n is larger than 3. I will talk about what is known at present, and natural avenues to explore.
20181210T09:57:34+00:00
3522
2881242
true
16x9
false
no

Some results in A1enumerative geometry
ucs_sms_2781281_2811615
http://sms.cam.ac.uk/media/2811615
Some results in A1enumerative geometry
Wickelgren, K
Friday 17th August 2018  11:30 to 12:30
Mon, 20 Aug 2018 09:34:52 +0100
Isaac Newton Institute
Wickelgren, K
c17eb0521fe08cf5d2c9bb2f5e416369
95463654af80bd4aed877bab78a6118e
b0991e1f4f27c2c8563629cf5f71626b
98d7ca8f1b8a32a58365ee6988e5a856
Wickelgren, K
Friday 17th August 2018  11:30 to 12:30
Wickelgren, K
Friday 17th August 2018  11:30 to 12:30
Cambridge University
3840
http://sms.cam.ac.uk/media/2811615
Some results in A1enumerative geometry
Wickelgren, K
Friday 17th August 2018  11:30 to 12:30
We will discuss several applications of A1homotopy theory to enumerative geometry. This talk includes joint work with Jesse Kass and Padmavathi Srinivasan.
20180820T09:34:52+01:00
3840
2811615
true
16x9
false
no

Spaces and cochains  yet another approach
ucs_sms_2781281_2886699
http://sms.cam.ac.uk/media/2886699
Spaces and cochains  yet another approach
Richter, B
Tuesday 18th December 2018  15:30 to 16:30
Wed, 19 Dec 2018 14:44:28 +0000
Isaac Newton Institute
Richter, B
3b302d0e5fac3025a25ec40cb8e0ec07
354d76ead8e43f4139fc856c7f3f672d
4cb7247a1c7cab1b9cd204f7fbc2ed2d
e9d5cc339644e8306a3238dae17151ef
Richter, B
Tuesday 18th December 2018  15:30 to 16:30
Richter, B
Tuesday 18th December 2018  15:30 to 16:30
Cambridge University
3840
http://sms.cam.ac.uk/media/2886699
Spaces and cochains  yet another approach
Richter, B
Tuesday 18th December 2018  15:30 to 16:30
Rationally, the homotopy type of any
reasonable space is completely determined by (a minimal model of) the Sullivan
cochain algebra of the space. If you want to be nonrational, then Mandell's
result says that the E∞algebra structure of the cochains determines
the homotopy type. In joint work with Steffen Sagave we construct a strictly
commutative model of the cochains of a space using the diagram category of
finite sets and injections in order to free things up. We show that this cochain
algebra determines the homotopy type of (finite type, nilpotent) spaces.
20181219T14:44:29+00:00
3840
2886699
true
16x9
false
no

Surfaces with involutions
ucs_sms_2781281_2808537
http://sms.cam.ac.uk/media/2808537
Surfaces with involutions
Dugger, D
Monday 13th August 2018  10:00 to 11:00
Tue, 14 Aug 2018 13:54:07 +0100
Isaac Newton Institute
Dugger, D
0015739232217f4292e73d6717a8fe74
1f8144332b87d4962da81ec62ac870ed
41a566c776d1ce8c16b64f35211525e2
4bdd69ab95e35e14d1e203c0b2f56be3
Dugger, D
Monday 13th August 2018  10:00 to 11:00
Dugger, D
Monday 13th August 2018  10:00 to 11:00
Cambridge University
3900
http://sms.cam.ac.uk/media/2808537
Surfaces with involutions
Dugger, D
Monday 13th August 2018  10:00 to 11:00
I will talk about the classification of surfaces with involution, together with remarks on the RO(Z/2)graded Bredon cohomology of these objects.
20180814T13:54:07+01:00
3900
2808537
true
16x9
false
no

Tangent ∞categories and Goodwillie calculus
ucs_sms_2781281_2845054
http://sms.cam.ac.uk/media/2845054
Tangent ∞categories and Goodwillie calculus
Ching, M
Tuesday 9th October 2018  14:00 to 15:00
Tue, 16 Oct 2018 12:45:49 +0100
Isaac Newton Institute
Ching, M
a8c266d1249d9e7308923ca00c60a6ce
a8a722196f9b474d1bd7895fa408db93
9d5f4154f4244d21541acbdd85197f7c
7dccabe581328d36221e8dbb8ff483d7
Ching, M
Tuesday 9th October 2018  14:00 to 15:00
Ching, M
Tuesday 9th October 2018  14:00 to 15:00
Cambridge University
3900
http://sms.cam.ac.uk/media/2845054
Tangent ∞categories and Goodwillie calculus
Ching, M
Tuesday 9th October 2018  14:00 to 15:00
Goodwillie calculus is a set of tools in homotopy theory developed, to some extent, by analogy with ordinary differential calculus. The goal of this talk is to make that analogy precise by describing a common categorytheoretic framework that includes both the calculus of smooth maps between manifolds, and Goodwillie calculus of functors, as examples. This framework is based on the notion of "tangent category" introduced first by Rosicky and recently developed by Cockett and Cruttwell in connection with models of differential calculus in logic, with the category of smooth manifolds as the motivating example. In joint work with Kristine Bauer and Matthew Burke (both at Calgary) we generalize to tangent structures on an (∞,2)category and show that the (∞,2)category of presentable ∞categories possesses such a structure. This allows us to make precise, for example, the intuition that the ∞category of spectra plays the role of the real line in Goodwillie calculus. As an application we show that Goodwillie's definition of nexcisive functor can be recovered purely from the tangent structure in the same way that njets of smooth maps are in ordinary calculus. If time permits, I will suggest how other concepts from differential geometry, such as connections, may play out into the context of functor calculus.
20181016T12:45:49+01:00
3900
2845054
true
16x9
false
no

The complex cobordism 2category and its central extensions
ucs_sms_2781281_2881228
http://sms.cam.ac.uk/media/2881228
The complex cobordism 2category and its central extensions
Henriques, A
Friday 7th December 2018  10:00 to 11:00
Mon, 10 Dec 2018 09:58:38 +0000
Isaac Newton Institute
Henriques, A
5e19746ef10bc10231503e0feae98034
29b8e24bb8ae13fdeb56cd9e6d7d9811
b71d3bdae9fca66e3a043ff99a63f388
ccd22e3c94a140573275f956d6e8a928
Henriques, A
Friday 7th December 2018  10:00 to 11:00
Henriques, A
Friday 7th December 2018  10:00 to 11:00
Cambridge University
4140
http://sms.cam.ac.uk/media/2881228
The complex cobordism 2category and its central extensions
Henriques, A
Friday 7th December 2018  10:00 to 11:00
I will introduce a symmetric monoidal 2category whose objects are 0manifolds, whose 1morphisms are 1dimensional smooth cobordisms, and whose 2morphisms are Riemann surfaces with boundary and cusps. I will introduce a certain central extension by ℝ₊ and explain its relevance in chiral conformal field theory. Finally, I will explain the state of my understanding on the question of classification of such extensions by ℝ₊.
20181210T09:58:38+00:00
4140
2881228
true
16x9
false
no

The Geometric Diagonal
ucs_sms_2781281_2790227
http://sms.cam.ac.uk/media/2790227
The Geometric Diagonal
Dundas, B
Tuesday 17th July 2018  15:30 to 16:30
Wed, 18 Jul 2018 16:00:47 +0100
Isaac Newton Institute
Dundas, B
7b5732a005dfb03be15d9ba55e97efd7
418e1354610409bb8848546d5d241a29
c757ae6a0a1aedf64466522a2f473b29
0bb7b5604a1e01c15538bec66e3f7928
Dundas, B
Tuesday 17th July 2018  15:30 to 16:30
Dundas, B
Tuesday 17th July 2018  15:30 to 16:30
Cambridge University
3575
http://sms.cam.ac.uk/media/2790227
The Geometric Diagonal
Dundas, B
Tuesday 17th July 2018  15:30 to 16:30
20180718T16:00:47+01:00
3575
2790227
true
16x9
false
no

The homotopy type of algebraic cobordism categories
ucs_sms_2781281_2878783
http://sms.cam.ac.uk/media/2878783
The homotopy type of algebraic cobordism categories
Hebestreit, F
Wednesday 5th December 2018  11:30 to 12:30
Wed, 05 Dec 2018 16:03:03 +0000
Isaac Newton Institute
Hebestreit, F
465c9b60ec10c4372c5c3589d99811b0
b8a680c22f751b9a8c54251652c20749
4c4c4c9595ba86b044ddd0843bd06403
6f5de1234a8fc9e02ea517f705865463
Hebestreit, F
Wednesday 5th December 2018  11:30 to 12:30
Hebestreit, F
Wednesday 5th December 2018  11:30 to 12:30
Cambridge University
3780
http://sms.cam.ac.uk/media/2878783
The homotopy type of algebraic cobordism categories
Hebestreit, F
Wednesday 5th December 2018  11:30 to 12:30
Coauthors: Baptiste Calmès (Université d'Artois), Emanuele Dotto (RFWU Bonn), Yonatan Harpaz (Université Paris 13), Markus Land (Universität Regensburg), Kristian Moi (KTH Stockholm), Denis Nardin (Université Paris 13), Thomas Nikolaus (WWU Münster), Wolfgang Steimle (Universität Augsburg). Abstract: I will introduce cobordism categories of Poincaré chain complexes, or more generally of Poincaré objects in any hermitian quasicategory C. One interest in such algebraic cobordism categories arises as they receive refinements of Ranicki's symmetric signature in the form of functors from geometric cobordism categories à la GalatiusMadsenTillmannWeiss. I will focus, however, on a more algebraic direction. The cobordism category of C can be delooped by an iterated Qconstruction, that is compatible with BökstedtMadsen's delooping of the geometric cobordism category. The resulting spectrum is a derived version of GrothendieckWitt theory and I will explain how its homotopy type can be computed in terms of the K and LTheory of C.
20181205T16:03:03+00:00
3780
2878783
true
16x9
false
no

The Kervaire invariant problem at odd primes
ucs_sms_2781281_2870550
http://sms.cam.ac.uk/media/2870550
The Kervaire invariant problem at odd primes
Ravenel, D
Monday 19th November 2018  14:00 to 15:00
Thu, 22 Nov 2018 09:45:03 +0000
Isaac Newton Institute
Ravenel, D
b6e9bb91b648ef90b999fe3ebfa81966
250495702f4b8072828a9581d1e5d55a
fb34021ae00f4499017a93e7ee5c19dd
6511c8aac86fc5c41d5127eba4f2d410
Ravenel, D
Monday 19th November 2018  14:00 to 15:00
Ravenel, D
Monday 19th November 2018  14:00 to 15:00
Cambridge University
3780
http://sms.cam.ac.uk/media/2870550
The Kervaire invariant problem at odd primes
Ravenel, D
Monday 19th November 2018  14:00 to 15:00
20181122T09:45:03+00:00
3780
2870550
true
16x9
false
no

The loop space homology of a small category
ucs_sms_2781281_2847158
http://sms.cam.ac.uk/media/2847158
The loop space homology of a small category
Oliver, R
Tuesday 16th October 2018  15:15 to 16:15
Fri, 19 Oct 2018 12:47:10 +0100
Isaac Newton Institute
Oliver, R
cc0999c9369a80a8ba4c5126cbe847ae
5fe0054ebcddbd404d88238d2ea91e38
b4a52db0916813a7650779bb0c4e252f
13f7c07a938081ffa52e6932d194a50a
Oliver, R
Tuesday 16th October 2018  15:15 to 16:15
Oliver, R
Tuesday 16th October 2018  15:15 to 16:15
Cambridge University
3660
http://sms.cam.ac.uk/media/2847158
The loop space homology of a small category
Oliver, R
Tuesday 16th October 2018  15:15 to 16:15
20181019T12:47:10+01:00
3660
2847158
true
16x9
false
no

The mod 2 Adams spectral sequence for tmf_*
ucs_sms_2781281_2834353
http://sms.cam.ac.uk/media/2834353
The mod 2 Adams spectral sequence for tmf_*
Bruner, R
Tuesday 11th September 2018  14:00 to 15:00
Wed, 26 Sep 2018 16:04:28 +0100
Isaac Newton Institute
Bruner, R
5e406480d9f446d8374b948c47c46a39
713907819b54ac1f001c444de2e0f644
0b7b1cdf3abdcd6d85d609ff383e5580
367581c258e7a471a79f19f1bddc6846
Bruner, R
Tuesday 11th September 2018  14:00 to 15:00
Bruner, R
Tuesday 11th September 2018  14:00 to 15:00
Cambridge University
3660
http://sms.cam.ac.uk/media/2834353
The mod 2 Adams spectral sequence for tmf_*
Bruner, R
Tuesday 11th September 2018  14:00 to 15:00
20180926T16:04:28+01:00
3660
2834353
true
16x9
false
no

The modelindependent theory of (∞,1)categories (2)
ucs_sms_2781281_2781937
http://sms.cam.ac.uk/media/2781937
The modelindependent theory of (∞,1)categories (2)
Riehl, E
Tuesday 3rd July 2018  10:00 to 11:00
Wed, 04 Jul 2018 14:09:47 +0100
Isaac Newton Institute
Riehl, E
14ec83246ca138123ed6b5851bb913af
8505b4eec9ffe93a5307477e15613075
47c6deca09fc65d746f2c09dc5cbf19c
7ebbe5afe45f5ec4ff20a4e28df62d78
Riehl, E
Tuesday 3rd July 2018  10:00 to 11:00
Riehl, E
Tuesday 3rd July 2018  10:00 to 11:00
Cambridge University
3720
http://sms.cam.ac.uk/media/2781937
The modelindependent theory of (∞,1)categories (2)
Riehl, E
Tuesday 3rd July 2018  10:00 to 11:00
Coauthor: Dominic Verity (Macquarie University)
In these talks we use the nickname "∞category" to refer to either a quasicategory, a complete Segal space, a Segal category, or 1complicial set (aka a naturally marked quasicategory)  these terms referring to Quillen equivalent models of (∞,1)categories, these being weak infinitedimensional categories with all morphisms above dimension 1 weakly invertible. Each of these models has accompanying notions of ∞functor, and ∞natural transformation and these assemble into a strict 2category like that of (strict 1)categories, functors, and natural transformations.
In the first talk, we'll use standard 2categorical techniques to define adjunctions and equivalences between ∞categories and limits and colimits inside an ∞category and prove that these notions relate in the expected ways: eg that right adjoints preserve limits. All of this is done in the aforementioned 2category of ∞categories, ∞functors, and ∞natural transformations. In the 2category of quasicategories our definitions recover the standard ones of Joyal/Lurie though they are given here in a "synthetic" rather than their usual "analytic" form.
In the second talk, we'll justify the framework introduced in the first talk by giving an explicit construction of these 2categories. This makes use of an axiomatization of the properties common to the Joyal, Rezk, Bergner/Pellissier, and Verity/Lurie model structures as something we call an ∞cosmos.
In the third talk, we'll encode the universal properties of adjunction and of limits and colimits as equivalences of comma ∞categories. We also introduce co/cartesian fibrations in both onesided and twosided variants, the latter of which are used to define "modules" between ∞categories, of which comma ∞categories are the prototypical example.
In the fourth talk, we'll prove that theory being developed isn’t just "modelagnostic” (in the sense of applying equally to the four models mentioned above) but invariant under changeofmodel functors. As we explain, it follows that even the "analyticallyproven" theorems that exploit the combinatorics of one particular model remain valid in the other biequivalent models.
Related Links
http://www.math.jhu.edu/~eriehl/scratch.pdf  lecture notes from a similar series of four talks delivered at EPFL
http://www.math.jhu.edu/~eriehl/elements.pdf  book in progress on the subject of these lectures
20180704T14:09:48+01:00
3720
2781937
true
16x9
false
no

The modelindependent theory of (∞,1)categories (3)
ucs_sms_2781281_2781989
http://sms.cam.ac.uk/media/2781989
The modelindependent theory of (∞,1)categories (3)
Riehl, E
Wednesday 4th July 2018  10:00 to 11:00
Wed, 04 Jul 2018 14:53:41 +0100
Isaac Newton Institute
Riehl, E
5dfbdb5726eb36025c61fa8ceb640299
c402915aa46dc0c5c8dd58592a39a89f
dfa2133fc90049e8faa8c478fd22479e
4b9fee2d971e158113eb231830212db5
Riehl, E
Wednesday 4th July 2018  10:00 to 11:00
Riehl, E
Wednesday 4th July 2018  10:00 to 11:00
Cambridge University
3900
http://sms.cam.ac.uk/media/2781989
The modelindependent theory of (∞,1)categories (3)
Riehl, E
Wednesday 4th July 2018  10:00 to 11:00
Coauthor: Dominic Verity (Macquarie University)
In these talks we use the nickname "∞category" to refer to either a quasicategory, a complete Segal space, a Segal category, or 1complicial set (aka a naturally marked quasicategory)  these terms referring to Quillen equivalent models of (∞,1)categories, these being weak infinitedimensional categories with all morphisms above dimension 1 weakly invertible. Each of these models has accompanying notions of ∞functor, and ∞natural transformation and these assemble into a strict 2category like that of (strict 1)categories, functors, and natural transformations.
In the first talk, we'll use standard 2categorical techniques to define adjunctions and equivalences between ∞categories and limits and colimits inside an ∞category and prove that these notions relate in the expected ways: eg that right adjoints preserve limits. All of this is done in the aforementioned 2category of ∞categories, ∞functors, and ∞natural transformations. In the 2category of quasicategories our definitions recover the standard ones of Joyal/Lurie though they are given here in a "synthetic" rather than their usual "analytic" form.
In the second talk, we'll justify the framework introduced in the first talk by giving an explicit construction of these 2categories. This makes use of an axiomatization of the properties common to the Joyal, Rezk, Bergner/Pellissier, and Verity/Lurie model structures as something we call an ∞cosmos.
In the third talk, we'll encode the universal properties of adjunction and of limits and colimits as equivalences of comma ∞categories. We also introduce co/cartesian fibrations in both onesided and twosided variants, the latter of which are used to define "modules" between ∞categories, of which comma ∞categories are the prototypical example.
In the fourth talk, we'll prove that theory being developed isn’t just "modelagnostic” (in the sense of applying equally to the four models mentioned above) but invariant under changeofmodel functors. As we explain, it follows that even the "analyticallyproven" theorems that exploit the combinatorics of one particular model remain valid in the other biequivalent models.
Related Links
http://www.math.jhu.edu/~eriehl/scratch.pdf  lecture notes from a similar series of four talks delivered at EPFL
http://www.math.jhu.edu/~eriehl/elements.pdf  book in progress on the subject of these lectures
20180704T14:53:41+01:00
3900
2781989
true
16x9
false
no

The modelindependent theory of (∞,1)categories (4)
ucs_sms_2781281_2783276
http://sms.cam.ac.uk/media/2783276
The modelindependent theory of (∞,1)categories (4)
Riehl, E
Thursday 5th July 2018  10:00 to 11:00
Fri, 06 Jul 2018 14:16:30 +0100
Isaac Newton Institute
Riehl, E
e1a0f421c2752db9e8450a1b70bb1bd8
f254f681c2ac26fef7f151a45b4cdbdd
cc394134ac0d2a3a0933b314b305c915
5ba980c30b8282c892eda7c9d5b6fcaf
Riehl, E
Thursday 5th July 2018  10:00 to 11:00
Riehl, E
Thursday 5th July 2018  10:00 to 11:00
Cambridge University
4020
http://sms.cam.ac.uk/media/2783276
The modelindependent theory of (∞,1)categories (4)
Riehl, E
Thursday 5th July 2018  10:00 to 11:00
Coauthor: Dominic Verity (Macquarie University)
In these talks we use the nickname "∞category" to refer to either a quasicategory, a complete Segal space, a Segal category, or 1complicial set (aka a naturally marked quasicategory)  these terms referring to Quillen equivalent models of (∞,1)categories, these being weak infinitedimensional categories with all morphisms above dimension 1 weakly invertible. Each of these models has accompanying notions of ∞functor, and ∞natural transformation and these assemble into a strict 2category like that of (strict 1)categories, functors, and natural transformations.
In the first talk, we'll use standard 2categorical techniques to define adjunctions and equivalences between ∞categories and limits and colimits inside an ∞category and prove that these notions relate in the expected ways: eg that right adjoints preserve limits. All of this is done in the aforementioned 2category of ∞categories, ∞functors, and ∞natural transformations. In the 2category of quasicategories our definitions recover the standard ones of Joyal/Lurie though they are given here in a "synthetic" rather than their usual "analytic" form.
In the second talk, we'll justify the framework introduced in the first talk by giving an explicit construction of these 2categories. This makes use of an axiomatization of the properties common to the Joyal, Rezk, Bergner/Pellissier, and Verity/Lurie model structures as something we call an ∞cosmos.
In the third talk, we'll encode the universal properties of adjunction and of limits and colimits as equivalences of comma ∞categories. We also introduce co/cartesian fibrations in both onesided and twosided variants, the latter of which are used to define "modules" between ∞categories, of which comma ∞categories are the prototypical example.
In the fourth talk, we'll prove that theory being developed isn’t just "modelagnostic” (in the sense of applying equally to the four models mentioned above) but invariant under changeofmodel functors. As we explain, it follows that even the "analyticallyproven" theorems that exploit the combinatorics of one particular model remain valid in the other biequivalent models.
Related Links
http://www.math.jhu.edu/~eriehl/scratch.pdf  lecture notes from a similar series of four talks delivered at EPFL
http://www.math.jhu.edu/~eriehl/elements.pdf  book in progress on the subject of these lectures
20180706T14:16:31+01:00
4020
2783276
true
16x9
false
no

The Picard group of the stable module category
ucs_sms_2781281_2838002
http://sms.cam.ac.uk/media/2838002
The Picard group of the stable module category
Grodal, J
Tuesday 2nd October 2018  15:30 to 16:30
Wed, 03 Oct 2018 12:01:12 +0100
Isaac Newton Institute
Grodal, J
124af387df11f685c0de5782c960f628
20e924dcd478997617ed6810e7111612
d5803ad9a84ef372f849d9efe9860af3
fc564040bdd6eee2ad8a4fe9945eb1a9
Grodal, J
Tuesday 2nd October 2018  15:30 to 16:30
Grodal, J
Tuesday 2nd October 2018  15:30 to 16:30
Cambridge University
3900
http://sms.cam.ac.uk/media/2838002
The Picard group of the stable module category
Grodal, J
Tuesday 2nd October 2018  15:30 to 16:30
The stable module category of a finite group is currently maybe my favourite presentable symmetric monoidal stable infinity category. The goal of the talk is to harness its Picard group, using our old friend the orbit category. Part of this talk is a report on joint works with Barthel, Hunt, Carlson, Nakano, Mazza....
20181003T12:01:12+01:00
3900
2838002
true
16x9
false
no

The role of pdivisible groups  2
ucs_sms_2781281_2834214
http://sms.cam.ac.uk/media/2834214
The role of pdivisible groups  2
Naumann, N
Tuesday 25th September 2018  11:30 to 12:30
Wed, 26 Sep 2018 15:08:22 +0100
Isaac Newton Institute
Naumann, N
1453c3a40db79563d6843898fc7f4cde
71914ff6a944f12f849f700ef2998aa9
165327a911caf24364434828ad1ef634
2f3e23b356b30138d019307d9791e725
Naumann, N
Tuesday 25th September 2018  11:30 to 12:30
Naumann, N
Tuesday 25th September 2018  11:30 to 12:30
Cambridge University
3780
http://sms.cam.ac.uk/media/2834214
The role of pdivisible groups  2
Naumann, N
Tuesday 25th September 2018  11:30 to 12:30
We will try to give an account of Lurie's treatment of pdivisible groups in spectral algebraic geometry, to the extend available by the date of the workshop.
20180926T15:08:23+01:00
3780
2834214
true
16x9
false
no

The role of pdivisible groups 1
ucs_sms_2781281_2834186
http://sms.cam.ac.uk/media/2834186
The role of pdivisible groups 1
Naumann, N
Monday 24th September 2018  11:30 to 12:30
Wed, 26 Sep 2018 14:45:41 +0100
Isaac Newton Institute
Naumann, N
138904e669f6b9269ef14035b068e232
c1d3a91ba998458b388066d2affd8767
47eee6ecbe0031e22ab8f2d9d4eaf80b
3925ae19a8a92df4bdea3290654aadbf
Naumann, N
Monday 24th September 2018  11:30 to 12:30
Naumann, N
Monday 24th September 2018  11:30 to 12:30
Cambridge University
3600
http://sms.cam.ac.uk/media/2834186
The role of pdivisible groups 1
Naumann, N
Monday 24th September 2018  11:30 to 12:30
We will try to give an account of Lurie's treatment of pdivisible groups in spectral algebraic geometry, to the extend available by the date of the workshop.
20180926T14:45:42+01:00
3600
2834186
true
16x9
false
no

The slice filtration and slice spectral sequence
ucs_sms_2781281_2875359
http://sms.cam.ac.uk/media/2875359
The slice filtration and slice spectral sequence
Ravenel, D
Thursday 26th November 2018  14:00 to 15:00
Fri, 30 Nov 2018 10:01:15 +0000
Isaac Newton Institute
Ravenel, D
440c89f8483a6b5d52b7b2240ddd6582
082f7c367bfbc1f59019a9c64bbe124d
b03d5dcfeeb9b1adf8ef0c4a01d0df1a
d084c363f171d2382277850d94a90316
Ravenel, D
Thursday 26th November 2018  14:00 to 15:00
Ravenel, D
Thursday 26th November 2018  14:00 to 15:00
Cambridge University
3720
http://sms.cam.ac.uk/media/2875359
The slice filtration and slice spectral sequence
Ravenel, D
Thursday 26th November 2018  14:00 to 15:00
20181130T10:01:15+00:00
3720
2875359
true
16x9
false
no

The spectrum of units of a height 2 theory
ucs_sms_2781281_2834221
http://sms.cam.ac.uk/media/2834221
The spectrum of units of a height 2 theory
Hahn, J
Tuesday 25th September 2018  14:30 to 15:30
Wed, 26 Sep 2018 15:09:33 +0100
Isaac Newton Institute
Hahn, J
e646597f9e2634701e9d1a5d35bec65f
67bf62101c008f5d6ed6f66d159553fa
1eb602cd22e6bed002ff12bd9ccef0c2
32f9aec034d4913f39d60cebca54e178
Hahn, J
Tuesday 25th September 2018  14:30 to 15:30
Hahn, J
Tuesday 25th September 2018  14:30 to 15:30
Cambridge University
3660
http://sms.cam.ac.uk/media/2834221
The spectrum of units of a height 2 theory
Hahn, J
Tuesday 25th September 2018  14:30 to 15:30
The space BSU admits two infinite loop space structures, one arising from addition of vector bundles and the other from tensor product. A surprising fact, due to Adams and Priddy, is that these two infinite loop spaces become equivalent after pcompletion. I will explain how the AdamsPriddy theorem allows for an identification of sl_1(ku_p), the spectrum of units of pcomplete complex Ktheory. I will then describe work, joint with Andrew Senger, that attempts to similarly understand the spectrum of units of the 2completion of tmf_1(3). Our computations seem suggestive of broader phenomena, and I will include discussion of several open questions.
20180926T15:09:33+01:00
3660
2834221
true
4x3
false
no

The tmfbased Adams spectral sequence for Z
ucs_sms_2781281_2837343
http://sms.cam.ac.uk/media/2837343
The tmfbased Adams spectral sequence for Z
Behrens, M
Friday 28th September 2018  14:30 to 15:30
Tue, 02 Oct 2018 09:40:47 +0100
Isaac Newton Institute
Behrens, M
d3b0d52c6d89c9479a87bc58c9c1ba78
e20603f3987afa3ce4a0778c14dc72b8
d0bab3dcf6272d5d9eb6a7eca4379a5f
2f90da45d9550be3119b6d99e66a9da0
Behrens, M
Friday 28th September 2018  14:30 to 15:30
Behrens, M
Friday 28th September 2018  14:30 to 15:30
Cambridge University
3840
http://sms.cam.ac.uk/media/2837343
The tmfbased Adams spectral sequence for Z
Behrens, M
Friday 28th September 2018  14:30 to 15:30
I will describe some specific and qualitative aspects of the tmfbased Adams spectral sequence for the BhattacharyaEgger type 2 spectrum called "Z". This is joint work with Agnes Beaudry, Prasit Bhattacharya, Dominic Culver, and Zhouli Xu.
20181002T09:40:47+01:00
3840
2837343
true
16x9
false
no

The Waldhausen Sconstruction as an equivalence of homotopy theories
ucs_sms_2781281_2790220
http://sms.cam.ac.uk/media/2790220
The Waldhausen Sconstruction as an equivalence of homotopy theories
Bergner, J
Tuesday 17th July 2018  14:00 to 15:00
Wed, 18 Jul 2018 16:00:04 +0100
Isaac Newton Institute
Bergner, J
6210f147d6272ffc0f6da6196ba12cee
6a6a6ac53dd60c80772b507d91872b76
235562c8806e01f2a7962b7bf913f0cc
b275fc08018925173b3e880c45b417f8
Bergner, J
Tuesday 17th July 2018  14:00 to 15:00
Bergner, J
Tuesday 17th July 2018  14:00 to 15:00
Cambridge University
3840
http://sms.cam.ac.uk/media/2790220
The Waldhausen Sconstruction as an equivalence of homotopy theories
Bergner, J
Tuesday 17th July 2018  14:00 to 15:00
The notion of unital 2Segal space was defined independently by DyckerhoffKapranov and GalvezCarrilloKockTonks as a generalization of a category up to homotopy. The notion of unital 2Segal space was defined independently by DyckerhoffKapranov and GalvezCarrilloKockTonks as a generalization of a category up to homotopy. A key example of both sets of authors is that the output of applying Waldhausen's Sconstruction to an exact category is a unital 2Segal space. In joint work with Osorno, Ozornova, Rovelli, and Scheimbauer, we expand the input of this construction to augmented stable double Segal spaces and prove that it induces an equivalence on the level of homotopy theories. Furthermore, we prove that exact categories and their homotopical counterparts can be recovered as special cases of augmented stable double Segal spaces.
20180718T16:00:05+01:00
3840
2790220
true
16x9
false
no

Tools for understanding topological coHochschild homology
ucs_sms_2781281_2866277
http://sms.cam.ac.uk/media/2866277
Tools for understanding topological coHochschild homology
Bohmann, A
Tuesday 13th November 2018  15:30 to 16:30
Thu, 15 Nov 2018 15:27:33 +0000
Isaac Newton Institute
Bohmann, A
ab2a24ee6284eb1c46945780286bf9be
87e4d26ea2e2e2eb48415952bc6090c3
f5eff5259c79bf172aa0c2fa9c4d2e4e
2ca9c672fe67dd1cb2790684ed874a86
Bohmann, A
Tuesday 13th November 2018  15:30 to 16:30
Bohmann, A
Tuesday 13th November 2018  15:30 to 16:30
Cambridge University
3780
http://sms.cam.ac.uk/media/2866277
Tools for understanding topological coHochschild homology
Bohmann, A
Tuesday 13th November 2018  15:30 to 16:30
Hochschild homology is a classical invariant of algebras. A "topological" version, called THH, has important connections to algebraic Ktheory, Waldhausen's Atheory, and free loop spaces. For coalgebras, there is a dual invariant called "coHochschild homology" and Hess and Shipley have recently defined a topological version called "coTHH." In this talk, I'll talk about coTHH (and THH) are defined and then discuss work with Gerhardt, Hogenhaven, Shipley and Ziegenhagen in which we develop some computational tools for approaching coTHH.
20181115T15:27:33+00:00
3780
2866277
true
16x9
false
no

Topological and dynamical obstructions to extending group actions.
ucs_sms_2781281_2881235
http://sms.cam.ac.uk/media/2881235
Topological and dynamical obstructions to extending group actions.
Nariman, S
Friday 7th December 2018  11:30 to 12:30
Mon, 10 Dec 2018 09:57:43 +0000
Isaac Newton Institute
Nariman, S
03e9fe02c877bb51de771f28e7af5ba2
06cd8173b43cdd002b4de1ec8fbf1381
a510b5b0b3b9fbed44fa7a2f40bce6cb
5c7b8f3a2a29b0c01f5ba54e33e9e760
Nariman, S
Friday 7th December 2018  11:30 to 12:30
Nariman, S
Friday 7th December 2018  11:30 to 12:30
Cambridge University
3660
http://sms.cam.ac.uk/media/2881235
Topological and dynamical obstructions to extending group actions.
Nariman, S
Friday 7th December 2018  11:30 to 12:30
For any 3manifold M with torus boundary, we find finitely generated subgroups of \Diff0(∂M) whose actions do not extend to actions on M; in many cases, there is even no action by homeomorphisms. The obstructions are both dynamical and cohomological in nature. We also show that, if ∂M=S2, there is no section of the map \Diff0(M)→\Diff0(∂M). This answers a question of Ghys for particular manifolds and gives tools for progress on the general program of bordism of group actions. This is a joint work with Kathryn Mann.
20181210T09:57:43+00:00
3660
2881235
true
16x9
false
no

Topological Hochschild homology via generalized Thom spectra
ucs_sms_2781281_2834777
http://sms.cam.ac.uk/media/2834777
Topological Hochschild homology via generalized Thom spectra
Schlichtkrull, C
Tuesday 18th September 2018  14:00 to 15:00
Thu, 27 Sep 2018 09:26:57 +0100
Isaac Newton Institute
Schlichtkrull, C
1e8e54e8f128433f5878833b1c8a709d
37945db7c1fb6beb51590929ec40ddb0
9b270b8be5817cbc41736dd37d3d01e5
95c3b2fca09d8bb3904089ab7ca93032
Schlichtkrull, C
Tuesday 18th September 2018  14:00 to 15:00
Schlichtkrull, C
Tuesday 18th September 2018  14:00 to 15:00
Cambridge University
4020
http://sms.cam.ac.uk/media/2834777
Topological Hochschild homology via generalized Thom spectra
Schlichtkrull, C
Tuesday 18th September 2018  14:00 to 15:00
We realize certain quotient spectra of an even ring spectrum as generalized Thom spectra and we use this to calculate their topological Hochschild homology. The main point is to analyze how the topological Hochschild homology varies with different choices of multiplicative structure on the quotient spectra. We also compare the topological Hochschild homology to twisted homology of free loop spaces. This represents joint work with Samik Basu.
20180927T09:26:57+01:00
4020
2834777
true
16x9
false
no

Topological modular forms with level structure
ucs_sms_2781281_2834200
http://sms.cam.ac.uk/media/2834200
Topological modular forms with level structure
Meier, L
Monday 24th September 2018  16:00 to 17:00
Wed, 26 Sep 2018 14:59:17 +0100
Isaac Newton Institute
Meier, L
cbe8886b6faf91fd636e30ded5f3d760
685e265e08c67244b2c3f191fe8c7180
3d75efb90c216dc3e6aee9eea901fe3d
52f756a75e866c0f4481bf43efd626d3
Meier, L
Monday 24th September 2018  16:00 to 17:00
Meier, L
Monday 24th September 2018  16:00 to 17:00
Cambridge University
3720
http://sms.cam.ac.uk/media/2834200
Topological modular forms with level structure
Meier, L
Monday 24th September 2018  16:00 to 17:00
Topological modular forms with level structure are spectra associated with moduli of elliptic curves with extra structure. These come in a huge variety. We will report on progress on the conjecture that all of these spectra split additively into a few simple pieces. Another goal is to obtain an understanding of connective variants of TMF with level structure. We will present some constructions and a conjecture on their associated stacks. This work is partially joined with Viktoriya Ozornova.
20180926T14:59:17+01:00
3720
2834200
true
16x9
false
no

Toward the equivariant stable parametrized hcobordism theorem
ucs_sms_2781281_2810248
http://sms.cam.ac.uk/media/2810248
Toward the equivariant stable parametrized hcobordism theorem
Merling, M
Thursday 16th August 2018  14:30 to 15:30
Fri, 17 Aug 2018 15:45:48 +0100
Isaac Newton Institute
Merling, M
1c52dab0439280062a77079ed00805d5
42a95893ad48ca5e5649d929ed2be2b5
f4df19da7fd12c4b20de8b3b0d31f699
6e678fae6f38f6fbf571c5cdc019fd2f
Merling, M
Thursday 16th August 2018  14:30 to 15:30
Merling, M
Thursday 16th August 2018  14:30 to 15:30
Cambridge University
3260
http://sms.cam.ac.uk/media/2810248
Toward the equivariant stable parametrized hcobordism theorem
Merling, M
Thursday 16th August 2018  14:30 to 15:30
Waldhausen's introduction of Atheory of spaces revolutionized the early study of pseudoisotopy theory. Waldhausen proved that the Atheory of a manifold splits as its suspension spectrum and a factor Wh(M) whose first delooping is the space of stable hcobordisms, and its second delooping is the space of stable pseudoisotopies. I will describe a joint project with C. Malkiewich aimed at telling the equivariant story if one starts with a manifold M with group action by a finite group G.
20180817T15:45:48+01:00
3260
2810248
true
16x9
false
no

Tree complexes and obstructions to embeddings.
ucs_sms_2781281_2800330
http://sms.cam.ac.uk/media/2800330
Tree complexes and obstructions to embeddings.
Arone, G
Tuesday 31st July 2018  15:30 to 16:30
Wed, 01 Aug 2018 12:58:09 +0100
Isaac Newton Institute
Arone, G
714ab9c3b39a2046718ec782c880b384
a01ab71231fa9ee2b82573d6982c8019
f4d3e20ed8472db6990794d1932d6a5e
7784df60dda2357e67c835e56fd5d3c9
Arone, G
Tuesday 31st July 2018  15:30 to 16:30
Arone, G
Tuesday 31st July 2018  15:30 to 16:30
Cambridge University
4320
http://sms.cam.ac.uk/media/2800330
Tree complexes and obstructions to embeddings.
Arone, G
Tuesday 31st July 2018  15:30 to 16:30
Using the framework of the calculus of functors (a combination of manifold and orthogonal calculus) we define a sequence of obstructions for embedding a smooth manifold (or more generally a CW complex) M in R^d. The first in the sequence is essentially Haefliger’s obstruction. The second one was studied by Brian Munson. We interpret the nth obstruction as a cohomology of configurations of n points on M with coefficients in the homology of a complex of trees with n leaves. The latter can be identified with the cyclic Lie_n representation. When M is a union of circles, we conjecture that our obstructions are closely related to Milnor invariants. When M is of dimension 2 and d=4, we speculate that our obstructions are related to ones constructed by Schneidermann and Teichner. This is very much work in progress.
20180801T12:58:09+01:00
4320
2800330
true
16x9
false
no
2781281