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Roman Sauer: Higher property T of arithmetic lattices

Time: Wed 2023-02-08 13.15

Location: KTH, 3418

Participating: Roman Sauer, Karlsruhe

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The talk is based on joint work with Uri Bader. We prove that arithmetic lattices in a semisimple Lie group G satisfy a higher-degree version of property T below the rank of G. The proof relies on functional analysis and the polynomiality of higher Dehn functions of arithmetic lattices below the rank and avoids any automorphic machinery. We describe applications to the cohomology and stability of arithmetic groups (the latter being joint work with Alex Lubotzky and Shmuel Weinberger).

Belongs to: Stockholm Mathematics Centre
Last changed: Feb 07, 2023