Geometry, Topology and Dynamics Seminar
Uri Bader
The Technion, Haifa
Poisson Boundary, The Weyl Group and Rigidity of Group actions
Abstract: The Poisson Boundary of a (countable) group L was defined by Furstenberg in the 60's. We will recall and explain the construction.
We will explain how to associate to a group $L$ another group, called the Weyl Group, $W(L)$.
This association is natural in many ways; in particular for every representation of $L$ into a semisimple Lie-Group, $G$, $W(L)$ is mapped canonically
into the classical Weyl Group of $G$, $W(G)$.
The map $W(L) \to W(G)$ may serve as a natural obstruction, showing in many cases that there are no representations $L \to G$ to begin with.
This is a joint work with Alex Furman.
Wednesday March 11, 2009 at 3:00 PM in SEO 612