中科院数学与系统科学研究院

数学研究所

学术报告

拓扑研讨班

报告人：汪湜（上海科技大学）

题  目：Eisenstein series and cusp counting in hyperbolic manifolds

时  间：2024.10.23（星期三）14:30-15:30

地  点：数学院南楼N818

摘  要：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.