清华主页 EN
导航菜单

An infinity-structure in Morse theory

来源: 06-13

时间:Tues., 13:30-14:30, June 13, 2023

地点:Zoom ID: 405 416 0815, PW: 111111;Jinchunyuan West Building Conference Room 3 (middle floor)

组织者:陈伟彦、高鸿灏、黄意 江怡 、林剑锋

主讲人:孙善忠 首都师范大学

Abstract 

In the light of Morse homology initiated by Witten and Floer, we construct two infinity-categories. One comes out of the Morse-Samle pairs and their higher homotopies, and the other strict one concerns the chain complexes of the Morse functions. Based on the boundary structures of the compactified moduli space of gradient flow lines of Morse functions with parameters, we also build up a weak infinity-functor between them. The talk is based on the joint work with with Chenxi WANG.


About the speaker 

孙善忠,首都师范大学数学科学学院教授,博士生导师,2001年博士毕业于南开大学陈省身数学研究所。研究兴趣在于与物理相关之数学问题诸如天体力学中的多体问题等哈密顿系统、辛拓扑中的Fukaya范畴、半经典迹公式、形变量子化以及Resurgence理论。相关工作发表在ARMA、CMP、Adv. Math.等著名期刊。

返回顶部
相关文章
  • Introduction to topos quantum theory

    PrerequisiteSome basic knowledge of quantum mechanics and category theory. Background in logic or algebraic/differential geometry would be helpful.AbstractA topos is a mathematical structure which resembles the category of sets, and furthermore has a notion of localization. This structure has an internal logic associated to it, in which true-false logic may be replaced by multi-valued logic. To...

  • String Theory I

    Record: YesLevel: GraduateLanguage: EnglishPrerequisiteBasic mathematics (calculus, algebra, etc.); a textbook knowledge of General Relativity and Quantum Field Theory (including the very basics facts about supersymmetry); the elementary notions of differential geometry (Riemannian geometry, bundles, connections, etc.), Lie groups, and algebraic topology (homology & cohomology groups,etc.).Abst...