题目：F-cohomological field theories and integrable systems

报告人：Alexandr Buryak (Skolkovo Institute of Science and Technology, and National Research University Higher School of Economics) 

时间：2025年4月28日（周一） 14:00-15:00

地点：东区管理科研楼1418教室

摘要：A deep relation between the geometry of the moduli spaces of curves and integrable systems was first manifested by Witten's conjecture in 1991, which was proved by Kontsevich. From the modern point of view, this result is an example of a correspondence between F-cohomological field theories on the moduli spaces of curves and integrable systems. I will discuss two constructions of integrable systems associated to an arbitrary F-cohomological field theory, a recently proved result about their equivalence, and present various examples showing that many important integrable systems from mathematical physics have a geometrical origin.