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Box spaces, expanders, and rigidity

Amenability, coarse embeddability and fixed point properties December 06, 2016 - December 09, 2016

December 07, 2016 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Anastasia Khukhro (Université de Neuchâtel)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • expander graph

  • coarse embedding

  • expander

  • Amenability

  • a-T-menability

  • fixed point properties

  • Banach space

  • group cohomology

  • hyperbolic groups and generalizations

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

14643

Abstract

We will present a new construction of a box space of a free group which does not contain coarsely embedded expanders, but does not embed coarsely into Hilbert space. We will also describe a new rigidity result for box spaces of finitely presented groups, and give some applications. This is joint work with Thiebout Delabie

Supplements
27471?type=thumb Khukhro Notes 3.59 MB application/pdf Download
Video/Audio Files

14643

H.264 Video 14643.mp4 344 MB video/mp4 rtsp://videos.msri.org/data/000/027/236/original/14643.mp4 Download
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