The algebraization of Kazhdan's property (T)

Yehuda Shalom*

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review

31 Scopus citations

Abstract

We present the surge of activity since 2005, around what we call the algebraic (as contrasted with the geometric) approach to Kazhdan's property (T). The discussion includes also an announcement of a recent result (March 2006) regarding property (T) for linear groups over arbitrary finitely generated rings.

Original languageEnglish
Pages1283-1310
Number of pages28
StatePublished - 2006
Event25th International Congress of Mathematicians, ICM 2006 - Madrid, Spain
Duration: 22 Aug 200630 Aug 2006

Conference

Conference25th International Congress of Mathematicians, ICM 2006
Country/TerritorySpain
CityMadrid
Period22/08/0630/08/06

Keywords

  • Bounded generation
  • Cohomology of unitary representations
  • Expanders
  • Finite simple groups
  • Property (T)
  • Spectral gap
  • Stable range
  • Sum-product phenomena

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