MATHEMATICS COLLOQUIUM

When: Wednesday, April 10, 2013 3:15 PM - 4:15 PM

Where: Math Building : Room 3206

Event Type(s): Colloquium

Title: Entropy and L2 Torsion

Speaker: Hanfeng Li (SUNY at Buffalo)

Abstract: Given any countable discrete group G and any countable left module M of the integral group ring of G, one may consider the natural action of G on the Pontryagin dual of M. Under suitable conditions, the entropy of this action and the L2-torsion of M are defined. I will discuss the relation between the entropy and the L2-torsion and indicate how this confirms the conjecture of Wolfgang Luck that any nontrivial amenable group admitting a finite classifying space has trivial L2-torsion. This is joint work with Andreas Thom.

Website: http://www.math.umd.edu/research/colloquium.html

For more information, contact:

Linette Berry

Department of Mathematics

+1 301 405 5058

lberry2@umd.edu

www-math.umd.edu/