数学研究所

数学科学全国重点实验室

学术报告

拓扑研讨班

Speaker:刘勍（南开大学）

Inviter: 周正一 副研究员

Language: Chinese

Title:Quasi-conformal homeomorphisms of Morse boundaries.

Time&Venue: 2025年5月21日（星期三） 14:30-15:30 & 南楼N818

Abstract:Boundaries of hyperbolic groups have played an important role in geometric group theory. By restricting to Morse geodesic rays, one can define an analogous boundary for more general groups.  Inspired by a theorem of Paulin, we investigate precise conditions for when a homeomorphism between the Morse boundaries of two groups is induced by a quasi-isometry of the groups themselves. In this talk, I will discuss the quasi-conformal homeomorphisms of Morse boundaries.