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SUMMARY:Gaussian multiplicative chaos measures\, Painlevé equations\, and
  conformal blocks - Harini Desiraju (Newton Institute)
DTSTART:20221115T140000Z
DTEND:20221115T150000Z
UID:TALK183197@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:Conformal blocks appear in several areas of mathematical physi
 cs from random geometry to black hole physics. A probabilistic notion of c
 onformal blocks using gaussian multiplicative chaos measures was recently 
 formulated by Promit Ghosal\, Guillaume Remy\, Xin Sun\, Yi Sun (arxiv:200
 3.03802). In this talk\, I will show that the semiclassical limit of the p
 robabilistic 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 Pro
 khorov.
LOCATION:MR12\, Centre for Mathematical Sciences
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