Speaker:

Amir Mohammadi
(University of Texas at Austin)

Title:

Orbit closures for the
action of SL(2,R): homogeneous spaces and moduli
space

Abstract:

There is an action of
SL(2,R) on moduli space of a compact Riemann
surface which is expected to have similar
rigidity properties as in the theory of
unipotent flows on homogeneous spaces. In this
talk we will review basic definitions and
properties of these actions, describing some
motivating problems. We will also give and
overview on the progress made on these problems
over the past 40 years or so.
Specifically, we will discuss a joint work with
Eskin and Mirzakhani in which orbits closures of
this action are studied. The main ingredients
are a measure classification theorem of Eskin
and Mirzakhani, and a certain avoidance
principle which we develop using some ideas of
Margulis.

Date
&
Time:

Saturday, August 2,
2014
10:3012:00, Preliminary Lecture
15:0015:00, Colloquium Talk
Sunday, August 3, 2014
10:3012:00, 1st Lecture
14:0015:30, 2nd Lecture
Tuesday, August 5, 2014
10:3012:00, 3rd Lecture
14:0015:30, 4th Lecture

Location: 
Lecture Hall 1,
Niavaran Building, IPM,
Niavaran Square, Tehran


