Amenability and fixed point properties
Location: MSRI: Simons Auditorium
geometric group theory
Kazhdan's property T
negative curvature manifolds
mapping class groups
von Neumann-Day conjecture
A fundamental dichotomy in the theory of infinite groups is the one between amenable groups and groups with Kazhdan's Property (T). In this talk I shall overview versions of these two opposite properties, connections to actions on non-positively curved spaces and on Banach spaces, to other geometric features of the groups, and to expander graphs. I shall also mention what is known in the setting of random groups and that of important classes of infinite groups (e.g. lattices, mapping class groups, Out(F_n) etc)
Please report video problems to email@example.com.
See more of our Streaming videos on our main VMath Videos page.