Speaker: Fabrizio Bianchi (University of Pisa)

Time: 16:00-17:00 p.m., May 8, 2025, GMT+8

Venue: Lecture Hall, Jiayibing Building, Jingchunyuan 82, BICMR

Abstract: 

We will discuss the stability of holomorphic dynamical systems under perturbation. In dimension 1, the theory is now classical and is based on works by Lyubich, Mané-Sad-Sullivan, and DeMarco. I will review this theory and present a recent generalisation valid for families of endomorphisms in any dimension. Since classical 1-dimensional techniques no longer apply in higher dimensions, the approach is based on ergodic and pluripotential methods.

Source: Beijing International Center for Mathematical Research, PKU