L2 invariants and their relatives for finitely generated groups

September 12 to September 16, 2011

at the

American Institute of Mathematics, Palo Alto, California

organized by

Miklos Abert, Mark Sapir, and Dimitri Shlyakhtenko

Original Announcement

This workshop will be devoted to the study of the asymptotic behavior of some natural invariants of finitely generated groups. Topics addressed at the meeting include L2-Betti numbers, rank gradient, free entropy dimension, measurable actions of groups and cost, graph limits and graphings, groups acting on rooted trees, mod p homology and cohomology and probabilistic aspects of infinite groups. Since the topics span several large areas of mathematics, the idea is to invite representatives of these areas who are interested in neighbor areas and are willing to assimilate each others point of view.

The main directions for the proposed workshop are the following.