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SUMMARY:Existence and uniqueness of the Liouville quantum gravity metric.
DTSTART:20191015T161500
DTEND:20191015T181500
DTSTAMP:20260427T220519Z
UID:4cfa06f14fb9656d295c2c488e0c41bcdb1bd6d9a517a2468ea3c84d
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dr Ewain Gwynne\nWe show that there is a unique metric associa
 ted with subcritical Liouville quantum gravity (LQG).  More precisely\, w
 e show that for the Gaussian free field h on a planar domain\, there is a 
 unique random metric D_h = ``e^{\\gamma h} (dx^2 + dy^2)"\, which is chara
 cterized by a list of natural axioms.\n\nThis LQG metric can be constructe
 d explicitly as the scaling limit of Liouville first passage percolation (
 LFPP)\, the random metric obtained by exponentiating a mollified version o
 f the Gaussian free field. Earlier work by Ding\, Dubedat\, Dunlap\, and F
 alconet (2019) showed that LFPP admits non-trivial subsequential limits. W
 e show that the subsequential limit is unique and satisfies our list of ax
 ioms.\n\nBased on four joint papers with Jason Miller\, one joint paper wi
 th Julien Dubedat\, Hugo Falconet\, Josh Pfeffer\, and Xin Sun\, and one j
 oint paper with Josh Pfeffer.\n \n 
LOCATION:CM 1 221 https://plan.epfl.ch/?room==CM%201%20221
STATUS:CONFIRMED
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