Title: Rational billiards and the SL(2,R) action on modui space.
Speaker: Alex Eskin
Speaker Info: UChicago
I will discuss ergodic theory over the moduli space of compact Riemannsurfaces and its applications to the study of polygonal billiardtables. There is an analogy between this subject and the theory offlows on homogeneous spaces; I will talk about some successes andlimitations of this viewpoint. This is joint work with Maryam Mirzakhani and Amir Mohammadi.Date: Thursday, March 1, 2012