Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	刘勍，南开大学数学科学学院
Inviter:	韩素珍
Title:	Morse boundaries of Groups
Language:	Chinese
Time & Venue:	2023.05.15 19:00-20:00 腾讯会议：706-569-913
Abstract:	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?lder, quasi-conformal, quasi-m?bius and power quasisymmetric. In this talk, we will give an introduction about Morse boundaries and investigate these structures on the Morse boundary which determine the interior space up to a quasi-isometry.