Type of Talk: UTCS Colloquium

Speaker/Affiliation: Herbert Ed

elsbrunner/Professor at the
Institute of Science and Technology Austri

a, and Arts and Sciences Professor
of Computer Science and Professor

of Mathematics at Duke University.

Date/Time: Monday, April 19, 201

0, 4:00 p.m.

Location: ACES 4.304

Host: Chandrajit Bajaj

<

p>Talk Title: Persistent Homology

Talk Abstract:

I will give a

brief introduction to persistent homology of a continuous
function on

a topological space. Extending the original notion to include
measurem

ents of essential classes, we get a relationship to the homology of
l

evel sets and their robustness under perturbations of the function. &

nbsp;    

This is joint work with Paul Bendic

h, Dmitriy Morozov and Amit Patel.