Probability and Mathematical Physics Seminar

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Conformal welding of Liouville quantum gravity surfaces

Speaker: Pu Yu, MIT

Location: Warren Weaver Hall 1302

Date: Friday, December 8, 2023, 11:10 a.m.

Synopsis:

Liouville quantum gravity (LQG) is a natural model describing random surfaces. A powerful tool of studying LQG is the conformal welding, where we glue two LQG surfaces together into a single LQG surface with the interface being Schramm-Loewner evolution (SLE) type curves. We will present some recent results on the conformal welding of LQG surfaces. We will also discuss their extensions and applications, including connections with reversibility of SLE curves, finiteness of multiple SLE partition functions and conformal loop ensemble (CLE) boundary touching probability. Based on joint works with Ang, Holden, Sun and Zhuang.