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Non-arithmetic hyperbolic manifolds via short closed geodesics

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Scott Thomson
Université de Fribourg
Thu, 21/08/2014 - 16:30 - 17:30
MPIM Lecture Hall

I will describe a construction of closed hyperbolic manifolds with arbitrarily short closed geodesics, and explain why, if the closed geodesic is sufficiently short in a particular sense, then these manifolds are non-arithmetic.  The construction starts from arithmetic lattices in PO(n,1) and is a generalisation (by Belolipetsky-T.) of a construction of I. Agol.

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