Cech cohomology and Floer-Novikov homology
2023-04-28 15:30:00
2023-04-28 15:30:00
2023-04-28 15:30:00
Speaker : 3:30PM, Wu weiwei
Time : 2023-04-28 15:30:00
Location : Apr
Title: Cech cohomology and Floer-Novikov homology
Speaker: Wu Weiwei (Associate Professor, School of Mathematical Sciences, Zhejiang University)
Time: Friday, April 28, 2023, 3:30 PM
Location: Building 2-106, Hainayuan, School of Mathematical Sciences, Zijingang Campus, Zhejiang University
Abstract:
In topological data analysis, a basic idea is to use the distance filtration on Cech cohomology of the open disk covers. I will explain the definition of Cech cohomology in a more general context with sheaf coefficients. Time permitted, I’ll talk about a generalization of the persistent homology in another direction called the Floer-Novikov homology, with a sketch of how this is motivated by applications in symplectic geometry.