School of Mathematical Sciences
Monday, October 21, 2013
Schreiber 006, 12:15
University of Chicago
The SL(2,R) action on moduli space
Abstract: 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
a ffine submanifold. The main theorems are inspired by the results of
several authors on unipotent flows on homogeneous spaces, and in
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