Morse Theory and Persistent Homology Computation

Monday, August 13, 2018 - 4:00pm - 5:00pm
Lind 305
Gregory Henselman (University of Pennsylvania)
This talk will introduce the central ideas of discrete Morse theory in high-performance (persistent) homology computation. Historically rooted in deep and beautiful structures from smooth geometry, this theory may be viewed, from a computational standpoint, as a very direct means of organizing cellular data to improve efficiency. Time permitting, we will discuss how the method of homological Morse reduction may be extended to the calculation of barcodes.