Talk Title: Künneth formulae in persistent homology

Event: Graduate Student Geometry and Topology Seminar

Where: Department of Mathematics, Michigan State University

Date: November 14, 2018

Abstract: The classical Künneth formula provides a relationship between the homology of a product space and that of its factors. In this talk, I will briefly review persistent homology and show Künneth-type theorems for it. That is, for two different notions of products, we show how the persistent homology of a filtered product space relates to that of the factor filtered spaces.