中科院数学与系统科学研究院
数学研究所
学术报告
微分几何研讨班
报告人： 汪湜 博士（Michigan State University）
题 目：Kleinian groups of small critical exponent
时 间：2021.12.29（星期三），09:00-10:00
地 点：南楼N204室 腾讯会议：645 169 421
摘 要：For a finitely generated discrete isometry group of a real hyperbolic space, the critical exponent measures the exponential growth rate of its orbit, or equivalently, it is the Hausdorff dimension of the conical limit set. In this talk, I will present joint work with Beibei Liu, we show that if the critical exponent is small enough, then the group is convex cocompact and virtually free. This partly answers a question of Kapovich.