04-11【Qingsheng Zhang】管楼1418 吴文俊数学重点实验室数学物理系列报告之2023-03

时间:2023-04-06

题目: Topological recursion of the generalized Brezin--Gross--Witten tau-function and its emergent geometry interpretation


报告人:Qingsheng Zhang , Peking University


时间:2023年4月11日(星期二)15:00-16:00


地点:东区管理科研楼1418教室


摘要:We study the emergent geometry of the generalized Brezin--Gross--Witten (BGW) model following Zhou's framework. We first construct a spectral curve from the genus zero data, and then show that the Eynard--Orantin topological recursion on this spectral curve emerges naturally from the Virasoso constriants. This proves Alexandrov's topological recursion conjecture for the generalized BGW model.

This talk is mainly based on joint works with Zhiyuan Wang, Chenglang Yang, and Di Yang.