Geometry, Topology and Dynamics Seminar
Pierre Py
University of Chicago
Kahler groups, real hyperbolic spaces and the Cremona group
Abstract: Starting from a classical theorem of Carlson and Toledo, we will discuss actions of fundamental groups of compact Kahler manifolds on finite or infinite dimensional real hyperbolic spaces.
We will see that such actions almost always (but not always) come from surface groups. We then give an application to the study of the Cremona group.
The talk will take us from the infinite dimensional representation theory of PSL(2,R) to algebraic geometry.
This is a joint work with Thomas Delzant.
Monday March 7, 2011 at 3:00 PM in SEO 636