The algebraization of Kazhdan's property (T)

Yehuda Shalom

The algebraization of Kazhdan's property (T)

Yehuda Shalom^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to conference › Paper › peer-review

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 language	English
Pages	1283-1310
Number of pages	28
State	Published - 2006
Event	25th International Congress of Mathematicians, ICM 2006 - Madrid, Spain Duration: 22 Aug 2006 → 30 Aug 2006

Conference

Conference	25th International Congress of Mathematicians, ICM 2006
Country/Territory	Spain
City	Madrid
Period	22/08/06 → 30/08/06

Keywords

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

Cite this

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KW - Bounded generation

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KW - Expanders

KW - Finite simple groups

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KW - Spectral gap

KW - Stable range

KW - Sum-product phenomena

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The algebraization of Kazhdan's property (T)

Abstract

Conference

Keywords

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Cite this