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（维多利亚老品牌）

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.