Gaussian multiplicative chaos measures, Painlevé equations, and conformal blocks

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.

• Speaker: Harini Desiraju (Newton Institute)
• Tuesday 15 November 2022, 14:00–15:00
• Venue: MR12, Centre for Mathematical Sciences.
• Series: Probability; organiser: Perla Sousi.