Geometric methods in holomorphic dynamics

Romain Dujardin (1)

1 LPSM (UMR_8001) - Laboratoire de Probabilités, Statistique et Modélisation

In this note we review a selection of contemporary research themes in holomorphic dynamics. The main topics that will be discussed are: geometric (laminar and woven) currents and their applications, bifurcation theory in one and several variables, and the problem of wandering Fatou components.

Domaines: Systèmes dynamiques [math.DS]; Variables complexes [math.CV]

Romain Dujardin. Geometric methods in holomorphic dynamics. International Congress of Mathematicians - ICM 2022, Jul 2022, Saint Petersbourg, Russia. ⟨hal-03339088⟩