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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
  • 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



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.


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


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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