JHH80 Dynamical Developments: Degenerations of Flat Surfaces and Rational Maps

Dynamics of rational maps in dimension 2 and the renormalization map for the iterated monodromy group of the Basilica map

11 juin 2025, 15:00

50m

Amphithéatre Schwartz (Institut de Mathématiques de Toulouse)

Orateur

Eric Bedford

Description

We will look at the dynamics of a family of birational maps on R^2 and C^2. Then we will discuss a noninvertible rational map acting in dimension 2. This map arises as the renormalization map in the Iterated Monodromy group of the Basilica map.