Séminaires à venir

mer. 14 jan. 14:00
Cyprien Thurotte Université de Picardie Jules Verne - LAMFA Complex dynamics, stability and McMullen's rigidity Séminaire doctorant Résumé

In this talk, I will discuss complex dynamics in dimension 1. After briefly reviewing Fatou-Julia theory, I will focus on family behavior. I will discuss bifurcation through the example of the Mandelbrot set. Then I will state and explain McMullen's classification theorem for stable families. Depending on the time remaining, I will present an arithmetic proof of this theorem by Z. Ji and J. Xie in 2023.