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Equicontinuous actions of semisimple Lie groups

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

December 08, 2016 (09:30 AM PST - 10:30 AM PST)
Speaker(s): Uri Bader (Weizmann Institute of Science)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • Lie group

  • fixed point properties

  • Amenability

  • a-T-menability

  • hyperbolic groups and generalizations

  • Banach space

  • group cohomology

  • expander graph

  • index theory

  • non-commutative geometry

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

14646

Abstract

Every fixed-point-free isometric action of a semisimple Lie group G is proper.

I will explain this in my talk. Later I will elaborate on further generalizations of this fact.

For example, the image of G under any continuous homomorphism into a topological group is closed. Another application is given by describing explicitly the WAP compactification of G (a notion that will be defined in the talk). The latter will be related to the decay property of matrix coefficients of reflexive representations.

The talk will be based on a joint work with Tsachik Gelander

Supplements
27474?type=thumb Bader Notes 1.22 MB application/pdf Download
Video/Audio Files

14646

H.264 Video 14646.mp4 374 MB video/mp4 rtsp://videos.msri.org/data/000/027/243/original/14646.mp4 Download
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