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Lie Group Quantum Mathematics Seminar

A probabilistic approach to Liouville CFT

Guillaume Remy, Institute for Advanced Study

Location:  Hill Center Room 705
Date & time: Friday, 03 March 2023 at 12:10PM - 1:10PM

Abstract Liouville conformal field theory (CFT) was introduced by Polyakov in 1981 as the theory governing the conformal factor in the summation over all 2d Riemannian metrics. In recent years it has undergone extensive study in the probability community as a model of random surfaces, and numerous CFT predictions have been established at a mathematical level of rigor. In this talk we will first explain how one can use probability theory to rigorously define Liouville theory in the path integral approach and then survey the main mathematical achievements of this program. In particular we will present our latest result on the modular transformation of conformal blocks and explain the connections with the algebraic approaches to Liouville CFT. No prior knowledge of probability theory will be assumed.

The information has also been posted in our seminar web page:

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