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Global rigidity of Anosov actions by higher rank lattices

Advances in Homogeneous Dynamics May 11, 2015 - May 15, 2015

May 15, 2015 (10:20 AM PDT - 11:10 AM PDT)
Speaker(s): Zhiren Wang (Pennsylvania State University)
Location: SLMath: Eisenbud Auditorium
Tags/Keywords

  • group representations

  • hyperbolic group

  • groups of diffeomorphisms

  • Margulis superrigidity

  • hyperbolic actions

  • nilmanifold

  • Zimmer's cocycle rigidity

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

14252
Abstract

We will discuss a recent work with Aaron Brown and Federico Rodriguez Hertz on smooth classification of Anosov actions by higher rank lattices on nilmanifolds. In particular, we will explain how the existence of an Anosov diffeomorphism from the group action leads to Anosov property of generic elements in the acting group, allowing to make use of large abelian subgroups. 
Supplements
23533?type=thumb Wang.Notes 145 KB application/pdf Download
Video/Audio Files

14252

H.264 Video 14252.mp4 266 MB video/mp4 rtsp://videos.msri.org/data/000/023/477/original/14252.mp4 Download
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