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Which random groups are cubulated

Groups acting on CAT(0) spaces September 27, 2016 - September 30, 2016

September 30, 2016 (02:00 PM PDT - 02:50 PM PDT)
Speaker(s): John Mackay (University of Bristol)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • Kazhdan's property T

  • geometric group theory

  • expander graph

  • representation theory and algebraic geometry

  • CAT(0) space

  • Riemannian geometry

  • discrete isoperimetric inequality

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

14621

Abstract

In Gromov's density model for random groups at low densities groups can be cubulated (Ollivier-Wise) whereas at higher densities the groups have Property (T) (Zuk, Kotowski-Kotowski), but there's a gap where things are unclear.  I'll discuss two results, with Piotr Przytycki and Cornelia Drutu respectively, about this problem.

 

Supplements
26821?type=thumb Mackay.notes 1.02 MB application/pdf Download
Video/Audio Files

14621

H.264 Video 14621.mp4 309 MB video/mp4 rtsp://videos.msri.org/data/000/026/673/original/14621.mp4 Download
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