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UID:20250714T203848EDT-1810mUL2rt@132.216.98.100
DTSTAMP:20250715T003848Z
DESCRIPTION:Title: Liouville quantum gravity from random matrix dynamics.\n
 \nAbstract: The Liouville quantum gravity measure is a properly renormaliz
 ed exponential of the 2d GFF. In this talk\, I will explain how it appears
  as a limit of natural random matrix dynamics: if (U_t) is a Brownian moti
 on on the unitary group at equilibrium\, then the measures $|det(U_t - e^{
 i theta}|^gamma dt dtheta$ converge to the 2d LQG measure with parameter $
 gamma$\, in the limit of large dimension. This extends results from Webb\,
  Nikula and Saksman for fixed time. The proof relies on a new method for F
 isher-Hartwig asymptotics of Toeplitz determinants with real symbols\, whi
 ch extends to multi-time settings. I will explain this method and how to o
 btain multi-time loop equations by stochastic analysis on Lie groups.\n	\n	B
 ased on a joint work with Paul Bourgade.\n\nIn person: Burnside Hall 1214
 \n\nZoom link: https://mcgill.zoom.us/j/89737173009?pwd=UzlwZkVPK0RnYXk4VG
 M2aXo4V3Q2QT09\n\n \n\n \n
DTSTART:20230309T163000Z
DTEND:20230309T173000Z
LOCATION:Room 1214\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Hugo Falconet (NYU)
URL:/mathstat/channels/event/hugo-falconet-nyu-346583
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