主 题: Entropy and L^2-torsion
报告人: Prof. Li Hanfeng (The State University of New York at Buffalo)
时 间: 2011-11-25 14:00-15:00
地 点: 理科一号楼1114 （数学所活动）
Given any countable discrete group G and any countable left
module M of the integral grout 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 L^2-torsion
of M are defined. I will discuss the relation between the entropy
and the L^2-torsion, and indicate how this confirms
the conjecture of Wolfang Luck that any aspherical connected finite
CW-complex with amenable fundamental group has trivial L^2-torsion. This
is joint work with Andreas Thom.
