Event Type:

Department Colloquium

Date/Time:

Friday, December 1, 2006 - 07:00

Location:

Kidd 364

Guest Speaker:

Institution:

Rutgers U.

Abstract:

I will show how computational algebraic topology can be used to study high dimensional nonlinear dynamics. The talk is broken into three sections:

1. How topology combined with numerics can be used to rigorously studying chaotic dynamics in infinite dimensional systems

2. A brief discussion of homology and how it can be efficiently computed

3. How computational topology can be used to study high dimensional data sets. In particular, I will talk about how we are using it to study the dynamics of Rayleigh-Benard convection.