DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**Speaker:** Marian Mrozek Jagiellonian University

**Title: ***
Towards the understanding of the homological persistence of maps
*

**Abstract:**
When a topological space is known only from sampling,
persistence provides a useful tool to study its homological
properties. In many applications one can sample not only the space,
but also a map acting on the space. The understanding of the
topological features of the map is often of interest, in particular
in time series analysis.
We consider the concept of persistence in finite dimensional
vector spaces and combine it with a graph approach to computing
homology of maps in order to study the persistence of eigenspaces
of maps induced in homology.

This work is joint with Herbert Edelsbrunner.

**Time:** Friday, Mar. 9, 2012, 1:30-2:30 p.m.

**Place:** Science and Tech 1, Room 242

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491