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.