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CLE Nesting and Liouville Quantum Gravity
http://sms.cam.ac.uk/media/2855033
Duplantier, B
Thursday 25th October 2018  15:00 to 16:00
40
CLE Nesting and Liouville Quantum Gravity
http://sms.cam.ac.uk/media/2855033
http://rss.sms.cam.ac.uk/itunesimage/2838028.jpg
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CLE Nesting and Liouville Quantum Gravity
ucs_sms_2822164_2855033
http://sms.cam.ac.uk/media/2855033
CLE Nesting and Liouville Quantum Gravity
Duplantier, B
Thursday 25th October 2018  15:00 to 16:00
Mon, 29 Oct 2018 10:32:56 +0000
Isaac Newton Institute
Duplantier, B
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Duplantier, B
Thursday 25th October 2018  15:00 to 16:00
Duplantier, B
Thursday 25th October 2018  15:00 to 16:00
Cambridge University
3600
http://sms.cam.ac.uk/media/2855033
CLE Nesting and Liouville Quantum Gravity
Duplantier, B
Thursday 25th October 2018  15:00 to 16:00
We describe recent advances in the study of SchrammLoewner Evolution (SLE), a canonical model of noncrossing random paths in the plane, and of Liouville Quantum Gravity (LQG), a canonical model of random surfaces in 2D quantum gravity. The latter is expected to be the universal, conformally invariant, continuum limit of random planar maps, as weighted by critical statistical models. SLE multifractal spectra have natural analogues on random planar maps and in LQG. An example is extreme nesting in the Conformal Loop Ensemble (CLE), as derived by Miller, Watson and Wilson, and nesting in the O(n) loop model on a random planar map, as derived recently via combinatorial methods. Their respective large deviations functions are shown to be conjugate of each other, via a continuous KPZ transform inherent to LQG. Joint work with Gaetan Borot and Jérémie Bouttier.
20181029T10:32:57+00:00
3600
2855033
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