March online meeting

Our monthly meeting will take place on Monday the 28th of March, from 4pm to 5pm (Central European Time). Our speaker will be Promit Ghosal. The zoom link will be sent to the members of the project through the mailing list. If you are interested in participating and you are not a PIICQ participant, please register sending us an email!

Title: Probabilistic Conformal Block and Its Properties.

Abstract: Conformal blocks are fundamental ingredients of the conformal field theory and are closely related to supersymmetric gauge theory. They also have intimate connections with Painleve tau functions and limits of spiked random matrices.

In this talk, I will demonstrate a probabilistic construction of the 1-point torus conformal block using Gaussian multiplicative chaos and discuss some of its properties and connections. This talk will be based on joint works with Guillaume Remy, Xin Sun and Yi Sun.

If time permits, I will mention about two ongoing works: one on showing modular symmetry of the conformal blocks and the other on showing the semiclassical limit of the conformal block.