Cech cohomology and Floer-Novikov homology

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.