Thurston and McMullen rigidity theorems revisited: new proof and generalization

报告题目：Thurston and McMullen rigidity theorems revisited: new proof and generalization

报告人：冀诸超教授（西湖大学）

时间：2023年04月20日（星期四）14:10-15:00

地点：紫金港校区海纳苑2幢312教室

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.

        联系人：叶和溪教授（yehexi@zju.edu.cn）