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Amenability and fixed point properties

Introductory Workshop: Geometric Group Theory August 22, 2016 - August 26, 2016

August 25, 2016 (09:00 AM PDT - 10:30 AM PDT)
Speaker(s): Cornelia Drutu (University of Oxford)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • geometric group theory

  • hyperbolic group

  • amenable groups

  • Kazhdan's property T

  • negative curvature manifolds

  • Banach space

  • expander graph

  • mapping class groups

  • von Neumann-Day conjecture

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

14597

Abstract

A fundamental dichotomy in the theory of infinite groups is the one between amenable groups and groups with Kazhdan's Property (T). In this talk I shall overview versions of these two opposite properties, connections to actions on non-positively curved spaces and on Banach spaces, to other geometric features of the groups, and to expander graphs. I shall also mention what is known in the setting of random groups and that of important classes of infinite groups (e.g. lattices, mapping class groups, Out(F_n) etc)

 

Supplements
26646?type=thumb Drutu Notes 209 KB application/pdf Download
Video/Audio Files

14597

H.264 Video 14597.mp4 529 MB video/mp4 rtsp://videos.msri.org/data/000/026/468/original/14597.mp4 Download
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