### Gaussian multiplicative chaos measures, Painlevé equations, and conformal blocks

Mathematical Physics Seminar

25th November 2022, 1:45 pm – 3:30 pm

Fry Building, 2.04

Conformal blocks appear in several areas of mathematical physics from random geometry to black hole physics. A probabilistic notion of conformal blocks using gaussian multiplicative chaos measures was recently formulated by Promit Ghosal, Guillaume Remy, Xin Sun, Yi Sun (arxiv:2003.03802). In this talk, I will show that the semiclassical limit of the probabilistic conformal blocks recovers a special case of the elliptic form of Painlevé VI equation, thereby proving a conjecture by Zamolodchikov. This talk is based on an upcoming paper with Promit Ghosal and Andrei Prokhorov.

*Biography:*

Talk recording: https://mediasite.bris.ac.uk/Mediasite/Play/1396de0c89f444298383ec4306fa732b1d

*Organiser*: Thomas Bothner

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