Wednesday, May 6, 2020 - 14:00 in ZOOM - Video Conference
Stochastic quantization of LCFT
A talk in the Bielefeld Stochastic Afternoon series by
Tristan Robert from Bielefeld
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Please contact stochana@math.uni-bielefeld.de for Meeting-ID and Password if you want to participate.
In this talk we will discuss the construction of a parabolicstochastic dynamics on compact surfaces which leaves the Liouvillequantum gravity (LQG) measure invariant. The LQG measure naturallyappears in the probabilistic formulation of Liouville conformal fieldtheory (LCFT). This latter arose in the 80's as a model for bosonicstring theory, and is one of the most important conformal fieldtheories.We will review the construction of the correlation functions for the LQGmeasure on compact surfaces. Then we will explain how to exploit the"positivity structure" of the associated stochastic equation in order toconstruct solutions which are stationary processes with law given by theLQG measure. This is a joint work with T. Oh, N. Tzvetkov and Y. Wang.
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