## EVENT DETAILS AND ABSTRACT

**Dynamical Systems Seminar**
**Title:** Deformation of compact quotients of homogeneous spaces

**Speaker:** Fanny Kassel

**Speaker Info:** University of Chicago

**Brief Description:**

**Special Note**:

**Abstract:**

Many mathematicians have worked on the problem of determining which
homogeneous spaces G/H admit proper and cocompact actions by discrete
groups Gamma. This question is highly nontrivial when H is noncompact, and
still far from being solved. I will consider homogeneous spaces G/H that
do admit such actions and examine the deformation of the compact quotients
Gamma\G/H. I will prove that for most known examples with G and H
reductive, the proper discontinuity of the action is preserved under any
small deformation of Gamma in G. The proof involves the dynamics of G in
the projective spaces of certain finite-dimensional representations.

**Date:** Tuesday, November 16, 2010

**Time:** 3:00pm

**Where:** Lunt 105

**Contact Person:** Ana Rechtman

**Contact email:** rechtman@math.northwestern.edu

**Contact Phone:**

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