University of Cambridge > Talks.cam > Mordell Lectures > The SL(2,R) action on Moduli space

The SL(2,R) action on Moduli space

Add to your list(s) Download to your calendar using vCal

  • UserProfessor Alex Eskin (University of Chicago) World_link
  • ClockThursday 03 July 2014, 17:00-18:00
  • HouseMR2, CMS.

If you have a question about this talk, please contact HoD Secretary, DPMMS.

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.

This talk is part of the Mordell Lectures series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity