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Eisenstein series and cusp counting in hyperbolic manifolds

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Shi Wang
Michigan State University/MPIM
Don, 04/05/2023 - 16:30 - 17:30
MPIM Lecture Hall

We study the Eisenstein series in a complete infinite volume hyperbolic manifold. We show that each full rank cusp corresponds to a cohomology class via the Eisenstein series construction. Moreover, by computing the intertwining operator, we show that different cusps give rise to linearly independent classes. As a consequence, the number of full rank cusps is bounded by the dimension of the cohomology group. This is joint work with Beibei Liu.


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