**SMS scnews item created by Stephan Tillmann at Fri 3 Jun 2016 1232**

Type: Seminar

Distribution: World

Expiry: 2 Sep 2016

**Calendar1: 8 Jun 2016 1200-1300**

**CalLoc1: Carslaw 535A**

CalTitle1: Persistent homology: an introduction and some example applications

Auth: tillmann@p710.pc (assumed)

### Geometry & Topology

# Persistent homology: an introduction and some example applications

### Katharine Turner (EPFL)

Wednesday 8 June 2016 from 12:00–13:00 in Carslaw 535A

Please join us for lunch after the talk!

**Abstract:**
Sometimes we may want to study a set of objects that contain interesting geometrical or topological structure. For example each piece of data may be a random packing of spheres, an image, a network, or the surface of a bone. In such a scenario it is sensible to calculate some summary of its topological and/or geometrical structure and then compare these summaries instead of the original complicated objects. Persistent homology is a popular tool. In this talk I will define persistent homology and the topological summaries of the persistent diagram and the persistent homology rank function. I will also show some examples of applications.