April 3, 2014
4:30 pm
-
5:30 pm
Cockins Hall 240
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2014-04-03 16:30:00
2014-04-03 17:30:00
Colloquium - Alex Eskin
Title: The SL(2,R) action on moduli spaceSpeaker: Alex Eskin, University of ChicagoAbstract: 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.
Cockins Hall 240
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2014-04-03 16:30:00
2014-04-03 17:30:00
Colloquium - Alex Eskin
Title: The SL(2,R) action on moduli spaceSpeaker: Alex Eskin, University of ChicagoAbstract: 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.
Cockins Hall 240
America/New_York
public
Title: The SL(2,R) action on moduli space
Speaker: Alex Eskin, University of Chicago
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 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.
