关于举行刘勍博士（南开大学）学术报告会的通知

报告题目：Beyond hyperbolicity: Morse boundaries

报 告人：刘勍 博士（南开大学）

报告时间：2022年10月18日（星期二）上午9:30-11:00         

报告地点：zoom 98951767939，密码：GTG

邀 请人：杜晓明副教授

欢迎广大师生前往！

数学学院

2022年10月11日

报告摘要：The Morse boundary of a proper geodesic metric space is a generalization of the Gromov boundary of a hyperbolic space. It is a quasi-isometry invariant to study ``hyperbolic directions'' in the space. That is, a quasi-isometry between two spaces induces a homeomorphism on their Morse boundaries. This homeomorphism satisfies a variety of metric properties including bi-h\older, quasi-conformal, quasi-m\obius and power quasisymmetric. In this talk, we will give a brief introduction about Morse boundaries and investigate these structures on the Morse boundary which determine the interior space up to a quasi-isometry.