Tel-Aviv University
School of Mathematical Sciences

Department Colloquium

Monday, October 21, 2013

Schreiber 006, 12:15

Alex Eskin

University of Chicago

The SL(2,R) action on moduli space

We prove some ergodic-theoretic rigidity properties of the action of SL(2; R) on the moduli space of compact Riemann surfaces.
In particular, we show that any ergodic measure invariant under the action of the upper triangular subgroup of SL(2; R) is supported on an invariant
a ffine submanifold. The main theorems are inspired by the results of several authors on unipotent flows on homogeneous spaces, and in particular
by Ratner's seminal work. This is joint work with Maryam Mirzakhani and Amir Mohammadi.

Coffee will be served at 12:00 before the lecture
at Schreiber building 006