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Quasi-isometric rigidity

Connections for Women: Geometric Group Theory August 17, 2016 - August 19, 2016

August 17, 2016 (11:30 AM PDT - 12:30 PM PDT)
Speaker(s): Tullia Dymarz (University of Wisconsin-Madison)
Location: MSRI: Simons Auditorium
  • geometric group theory

  • quasi-isomorphisms

  • Lipschitz continuity

  • cocompactness

  • nilpotent groups and actions

  • solvable groups

  • amenable groups

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



In order to have well defined geometries, finitely generated groups are studied up to quasi-isometric equivalence. This leads one to ask: Given a finitely generated group which other groups are quasi-isometric to it? Or more generally: Given a metric space  X which groups are quasi-isometric to X? Answering such questions gives quasi-isometric rigidity results. In these lectures we will survey techniques/results used to prove quasi-isometric rigidity theorems and then we will study more carefully the case when X  is a solvable Lie group with a left invariant metric. 

26543?type=thumb Dymarz Notes 676 KB application/pdf Download
Video/Audio Files


H.264 Video 14576.mp4 327 MB video/mp4 rtsp://videos.msri.org/data/000/026/389/original/14576.mp4 Download
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