Séminaires doctorant en 2026
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.
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