CRM: Centro De Giorgi
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Sub-riemannian geometry and beyond, III

Higher property T and the cohomology of arithmetic groups

speaker: Roman Sauer (Karlsruhe Institute for Technology)

abstract: Property T of a group G is a fixed point property of actions of G on Hilbert spaces. It was introduced by Kazhdan in the 1960's in a most influential 3-page paper. We study and prove a higher analogue of property T for arithmetic groups which is formulated in cohomological terms. Earlier related results often relied on deep analytic and number-theoretic results. Our novel method is based on results of geometric group theory such as isoperimetric inequalities in groups. Joint work with Uri Bader.

Thu 22 Jun, 14:00 - 15:00, Aula Dini
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