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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: SLMath: Eisenbud Auditorium
Tags/Keywords

  • 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
Video

14576
Abstract

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

14576

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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