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科学研究
Modular Invariants for Proper Actions
发布时间:2019-04-24浏览次数:

题目:Modular Invariants for Proper Actions

报告人:韩飞 教授(新加坡国立大学)

地点:致远楼101室

时间:2019年4月24日10:30-11:30

摘要: In this talk, we will present our work on open Lie group actions on open manifolds. Witten genus and elliptic genera are modular topological invariants for manifolds, which are closely related to representation of loop groups and the hypothetical index theory on free loop space as well as the elliptic cohomology theory in algebraic topology. They find applications in problems of positive curvature and group actions on manifolds. In this talk, we will briefly introduce these invariants and present our joint work with Varghese Mathai on generalizing them to open manifolds with proper actions of open Lie groups.

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