Talk Title: Künneth Formulae in Persistent Homology

Event: 1st Geometry and Topology meet Data Analysis and Machine Learning 

Where: Department of Mathematics, The Ohio State University

Date: June 2, 2019

Abstract: The classical Künneth 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 product filtrations and that of their factor filtered spaces.