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arXiv · 1406.3765

Sur le spectre et la topologie des vari\'et\'es hyperboliques de congruence : les cas complexe et quaternionien

Nicolas Bergeron·Laurent Clozel
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Abstract

Building on results of Arthur and Mok, we extend to (finite volume) complex and quaternionic hyperbolic manifolds the results of arXiv:1004.1085. For the spherical spectrum our results are optimal. Finally, as an application we prove a Lefschetz property for the restriction map between arithmetic quotients of complex balls. This generalizes a recent theorem of Arvind Nair and gives an optimal version of it.

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Nicolas Bergeron, Laurent Clozel. 2014-06-14. Sur le spectre et la topologie des vari\'et\'es hyperboliques de congruence : les cas complexe et quaternionien. https://arxiv.org/abs/1406.3765

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