Probability and Mathematical Physics Seminar

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A probabilistic construction of conformal blocks for Liouville CFT

Speaker: Guillaume Rémy, Columbia University

Location: Warren Weaver Hall 1302

Date: Friday, March 6, 2020, noon

Synopsis:

Liouville theory is a fundamental example of a conformal field theory (CFT) first introduced by A. Polyakov in the context of string theory. In recent years it has been rigorously studied using probabilistic techniques. In this talk we will present a probabilistic construction of the conformal blocks of Liouville CFT on the torus. These are the fundamental objects that allow to understand the integrable structure of CFT using the conformal bootstrap equation. We will also mention the connection with the AGT correspondence. Based on joint work with Promit Ghosal, Xin Sun, and Yi Sun.