Entropy and Determinants

Date

May 23, 2012

Time

5:00 PM - 6:00 PM

Speaker

Prof. Dr. Andreas Thom

Affiliation

Universität Leipzig, Mathematisches Institut

Series

TUD Dresdner Mathematisches Seminar

Language

de

Main Topic

Mathematik

Other Topics

Mathematik

Host

Prof. Dr. U. Brehm

Description

This talk is about the entropy of group actions of amenable groups; all notions will be motivated and explained clearly. I will present recent progress on questions asked by Christopher Deninger about the entropy of certain principal algebraic dynamical systems. I will show that the entropy of an algebraic dynamical system agrees with the $L^2$-torsion of the dual module over the integral group ring of the group acting. As a by-product we prove vanishing of the $L^2$-torsion of amenable groups, which was conjectured by Wolfgang Lueck. This is joint work with Hanfeng Li.

Links

• Prof. Dr. Andreas Thom

Last modified: May 4, 2012, 4:00:57 PM