Cech cohomology and Floer-Novikov homology.
Title: Cech cohomology and Floer-Novikov homology.
Speaker:吴惟为 (太阳成集团tyc411(中国)有限公司-百度百科,长聘副教授)
时间:2023年4月28日下午3:30,星期五
地点:浙大紫金港校区太阳成集团tyc411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.