Tel Aviv University 
Hello everyone,
The next colloquium talk will be held on:
Monday, 13/5/2013, 12:15, Schreiber 006, Tel Aviv University.
Speaker: Barak Weiss (Tel Aviv University)
Title: Dynamics on the moduli space of translation surfaces -- a survey of
recent developments.
The abstract is given below. Tea and coffee at 12:00, same room.
Hope to see you there. For information about future colloquia, see
Abstract: The moduli space of translation surfaces is a space parametrizing
certain flat metrics on compact orientable surfaces. The dynamics of the
action of G=SL(2,R) and its subgroup U of upper triangular unipotent
matrices on this space has been intensively investigated in recent years,
and the aim has been to prove results analogous to Ratner's celebrated
theorems classifying invariant
measures and orbit-closures on homogeneous spaces of Lie groups. For the
G-action, this was achieved by McMullen in 2005 in genus 2, and in full
generality by very recent breakthrough results of
Eskin-Mirzakhani-Mohammadi. For the U-action, the problem is still open. I
will explain the questions, motivating them by seemingly unrelated
elementary geometrical questions, and survey the recent breakthroughs. I
will also present results of joint work with Samuel Lelievre and John
The talk is intended for a general audience and all relevant notions will be
Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <> 
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