Leandro Arosio: Dynamics of transcendental Hénon maps
Source: Complex analysis seminar
Title: Dynamics of transcendental Hénon maps.
Abstract: The dynamics of a polynomial in the complex plane is a classical topic studied already at the beginning of the 20th century by Fatou and Julia. The complex plane is partitioned in two natural invariant sets: a compact set called the Julia set, with (usually) fractal structure and chaotic behaviour, and the Fatou set, where dynamics has no sensitive dependence on initial conditions. The dynamics of a transcendental map was first studied by Baker fifty years ago, and shows striking differences with the polynomial case: for example, there are wandering Fatou components. Moving to C^2, an analogue of polynomial dynamics is given by Hénon maps, polynomial automorphisms with interesting dynamics. In this talk I will introduce a natural generalisation of transcendental dynamics to C^2, and show how to construct wandering domains for such maps.
Seminar bo v predavalnici 3.06 na Jadranski 21. Vljudno vabljeni!
V četrtek, 29. marca, pa bo v okviru seminarja za kompleksno analizo predaval še dr. Han Peters z Univerze v Amsterdamu. Vabilo sledi!
Josip Globevnik in Franc Forstnerič