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On arithmetically defined hyperbolic manifolds and their Betti numbers

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  • UserJoachim Schwermer (Wien)
  • ClockTuesday 12 February 2013, 16:15-17:15
  • HouseMR14.

If you have a question about this talk, please contact Teruyoshi Yoshida .

An orientable hyperbolic n-manifold is isometric to the quotient of hyper- bolic n-space H by a discrete torsion free subgroup of the group of orientation-preserving isometries of H. Among these manifolds, the ones originating from arithmetically defi ned groups form a family of special interest. Due to the underlying connections with number theory and the theory of automorphic forms, there is a fruitful interaction between geometric and arithmetic questions, methods and results. We intend to give an account of recent investigations in this area, in particular, of those pertaining to hyperbolic 3-manifolds and bounds for their Betti numbers.

This talk is part of the Number Theory Seminar series.

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