Speaker: 吴保君，北京大学

Inviter: 随机分析研究中心

Title: Random geometry on the annulus

Language: Chinese

Time & Venue: 2025.06.06 16:00-17:00 南楼613

Abstract: In 1981, Polyakov introduced the bosonic string measure as the path integral of 2d random surfaces. This work has profoundly motivated recent mathematical advances in Liouville conformal field theory (LCFT) and the study of random geometries. In the first part of the talk, I explain the LCFT on the annulus and derive its partition function. In the second part, I explain some applications to Brownian loop soups (BLS), and we give explicit formulas for some random moduli problems of Brownian loop soups, which is based on the joint work with Gefei Cai, Jiaqi Liu, Wei Qian and Xin Sun.