Event Detail

Event Type: 
Geometry-Topology Seminar
Date/Time: 
Monday, April 4, 2022 - 12:00 to 12:50
Location: 
BEXL 328 and Zoom

Speaker Info

Institution: 
University of Chicago
Abstract: 

A challenge in computational topology is to deal with large filtered geometric complexes built from point cloud data such as Vietoris-Rips filtrations. This has led to the development of schemes for parallel computation and compression which restrict simplices to lie in open sets in a cover of the data. We extend the method of acyclic carriers to the setting of persistent homology to give interleavings between the persistent homology of Vietoris-Rips filtrations restricted to covers and the full construction. We show how these filtrations can be used to study data over a base space and use our results to guide the selection of covers of data.