School of Mathematical Sciences

Holomorphic motions of Julia sets menu

Holomorphic motions of Julia sets

Speaker: 
Fabrizio Bianchi (Imperial College)
Date/Time: 
Tue, 26/09/2017 - 16:00
Room: 
W316
Seminar series: 

For a family of rational maps, results by Lyubich, Mané-Sad-Sullivan and DeMarco provide a fairly complete understanding of dynamical stability. I will review this one-dimensional theory and present a recent generalisation to several complex variables. I will focus on the arguments that do not readily generalise to this setting, and introduce the tools and ideas that allow one to overcome these problems.