Talk Title: Künneth Formulae in Persistent Homology

Event: 17th Graduate Student Topology and Geometry Conference

Where: Department of Mathematics, University of Illinois at Urbana-Champaign

Date: March 30, 2019

Abstract: The classical Kunneth formula in homological algebra provides a relationship between the homology of a product space and those of its factors. In this talk, we will give similar results for persistent homology. That is, we will give relationships between barcodes of two different notions of product filtrations and that of their factor filtered spaces. We will also give applications to this result.