University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > On the cohomology of arithmetic hyperbolic manifolds

On the cohomology of arithmetic hyperbolic manifolds

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  • UserNicolas Bergeron, Jussieu
  • ClockWednesday 27 October 2010, 16:00-17:00
  • HouseMR13.

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James Arthur has obtained spectacular classification results for the automorphic representations of classical groups. These have deep consequences for the topology of arithmetic real hyperbolic manifolds, enabling one (1) to give relations between the cohomology of an arithmetic hyperbolic manifold and its totally geodesic submanifolds (j.w. Laurent Clozel), (2) to construct arithmetic hyperbolic manifolds for which any congruence cover has zero first Betti number (j.w. Laurent Clozel) and (3) to represent small degree cohomology classes as linear combinations of totally geodesic manifolds (j.w. Colette Moeglin and John Millson). I will describe these results and explain their relations with Arthur’s work.

This talk is part of the Differential Geometry and Topology Seminar series.

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