Cech cohomology and Floer-Novikov homology.

Title:  Cech cohomology and Floer-Novikov homology.  

Speaker:吴惟为 （浙江大学数学科学学院，长聘副教授）

时间：2023年4月28日下午3:30,星期五

地点：浙大紫金港校区数学科学学院海纳苑2幢-106

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.