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The geometry of hyperbolic groups and their fixed point properties

Geometry of mapping class groups and Out(Fn) October 25, 2016 - October 28, 2016

October 28, 2016 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Cornelia Drutu (University of Oxford)
Location: SLMath: Eisenbud Auditorium
Tags/Keywords

  • geometric group theory

  • hyperbolic groups

  • random groups

  • fixed point properties

  • Boundary

  • property (T)

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

14636
Abstract 
In this talk I shall overview various fixed point properties and their occurence in the classes of hyperbolic groups, and of higher rank lattices. I shall then present the existing evidence, in the setting of random groups, in support of a connection between the geometry of the boundary of a hyperbolic group and the fixed point properties that the group has. This is joint work with John Mackay.
Supplements
27146?type=thumb Drutu.Notes 177 KB application/pdf Download
Video/Audio Files

14636

H.264 Video 14636.mp4 346 MB video/mp4 rtsp://videos.msri.org/14636/14636.mp4 Download
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