Stable Algebraic Families of Rational Maps

McMullen proved that a stable family of rational maps is either trivial or all its members are Lattès. His proof relies on Thurston’s theorem on postcritically finite maps, which uses Teichmüller theory. I will discuss a recent new proof of McMullen’s theorem due to Zhuchao Ji and Junyi Xie which instead uses Berkovich dynamics over the complex Levi-Civita field.

For more information, please see:  Algebraic Dynamics Seminar at Harvard