Speaker: 高延 教授，深圳大学

Inviter: 彭文娟 研究员

Title: On the periodic connected components of the boundary of a fixed Fatou domain

Language: Chinese

Time&Venue: 2024.11.15  09:30-10:30  腾讯会议：648-247-371

Abstract: Let U be a fixed attracting or parabolic Fatou domain of a rational map f. We are concerned with the dynamics of f on \partial U. In this talk, we investigate periodic connected components of \partial U. We prove that if E is a periodic connected component of \partial U and is locally connected, the map f:E\to E can be described by a circle-tree.