时间：2022年10月14日（周五）16:00-17:00
地点：西湖大学云谷校区E4-233
主持人: 理论科学研究院 关力凡博士
主讲人: 理论科学研究院 冀诸超博士
讲座主题：Thurston and McMullen rigidity theorems revisited: new proof and generalization
讲座摘要:
This is a joint work with Junyi Xie. In 1987, McMullen proved a remarkable rigidity theorem which asserts that aside from the flexible Lattès family, the multiplier spectrum of periodic points determines the conjugacy class of rational maps up to finitely many choices. The proof relies on Thurston's rigidity theorem for post-critically finite maps, in where Teichmüller theory is an essential tool. In this talk we give a new proof of McMullen's theorem without using quasiconformal maps or Teichmüller theory. We also show that aside from the flexible Lattès family, the length spectrum of periodic points determines the conjugacy class of rational maps up to finitely many choices. This generalize the aforementioned McMullen's theorem.
