中科院数学与系统科学研究院
数学研究所
学术报告
拓扑研讨班
报告人：柳翔 博士（数学所）
题 目：Linked periodic orbits of disc homeomorphisms
时 间：2022.11.23（星期三）下午14:30-16:30
地 点：腾讯会议：701 801 036 密码：1990
摘 要：In 1990, Gambaudo introduced the notion of linking of two invariant sets of a surface self-map. Most of the known results of linked periodic orbits are about an orbit linked with a fixed point. In this talk, based on the forcing relation of braids, we present a method for finding periodic orbits which are linked with a given periodic orbit of an orientation-preserving homeomorphism of the disc. New examples are provided.