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Speaker:

Shi Wang
Affiliation:

Michigan State University/MPIM
Date:

Thu, 04/05/2023 - 16:30 - 17:30
Location:

MPIM Lecture Hall
Parent event:

Oberseminar Differentialgeometrie 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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