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On the linearity of lattices in affine buildings

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

September 30, 2016 (09:30 AM PDT - 10:20 AM PDT)
Speaker(s): Uri Bader (Weizmann Institute of Science)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • CAT(0) space

  • negative curvature manifolds

  • Riemannian geometry

  • buildings and complexes

  • affine buildings and cells

  • algebraic combinatorics

  • Bruhat-Tits construction

  • automorphism groups

  • Margulis superrigidity

  • discrete group actions

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

14619

Abstract

One of the most prominent class of CAT(0) spaces is the class of Affine Buildings.

In dimension 1, an affine building is nothing but a tree. In dimension 3 and higher (irreducible) affine buildings are always classical, that is they are the Bruhat-Tits buildings of algebraic groups over valued fields. In dimension 2 there are loads of exotic (ie, non-classical) buildings. Some are intimately related with some sporadic finite simple groups. Many have a cocompact group of isometries.

Supplements
26867?type=thumb Bader. Notes 778 KB application/pdf Download
Video/Audio Files

14619

H.264 Video 14619.mp4 333 MB video/mp4 rtsp://videos.msri.org/data/000/026/670/original/14619.mp4 Download
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