L2 invariants and their relatives for finitely generated groups
September 12 to September 16, 2011
American Institute of Mathematics,
Palo Alto, California
and Dimitri Shlyakhtenko
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.