Colloquium

Department of Mathematics

Periodic orbits and Knots

Alexander Felshtyn

Boise State University

Abstract

The lecture will discuss several interesting phenomena (topological, algebraic, analytic and arithmetic) which are observed in the study of periodic orbits of a dynamical system. The main topics are:
1. Poincare-Hopf theorem and Euler characteristic.
2. Lorenz knots.
3. Sharkovsky ordering. Period 3 implies Chaos. Julia sets.
4. Reidemeister torsion, dynamical zeta functions andcounting periodic orbits.

Friday, February 23rd
3:40 pm
Room: MG 139
Refreshments: 3:15 pm in MG226.

All interested persons are welcome.