November 11: Guillaume Remy

Title: A probabilistic approach to conformal blocks and conformal bootstrap for Liouville theory

Abstract:

Liouville theory is a fundamental example of a conformal field theory (CFT) first introduced by A. Polyakov in the context of string theory. As for all CFT it is in principle exactly solvable using the conformal bootstrap formalism. Very recently Liouville theory has been rigorously constructed using a probabilistic framework. In this talk we will present work in progress to understand the conformal blocks and the conformal bootstrap for Liouville theory using probability. We will also mention some connections with the AGT correspondence. Based on joint work with Promit Ghosal, Xin Sun, and Yi Sun.