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题目： On braid forcing in dynamics on the 2-disc

报告人：柳翔 博士（中国科学院数学与系统科学研究院）

Abstract： 

Braids arise naturally in dynamics of surface maps being used to study forcing and linking of periodic orbits.  For an orientation-preserving homeomorphosm of the 2-disc, based on braid types and representations of braid groups, there are algorithms to find periodic orbits which are forced by and linked with a given one. On the other hand, for a symplectomorphism of the disc, one can determine if periodic orbits exist in a given braid class by using the Conley index theory on the discretized braid space. We overview these two theories and discuss their relations.

时间：2023年11月28日（周二）上午9:30-10:30

地点：教二楼 611

联系人：赵学志