14 apr 2016 -- 15:00
Aula D'Antoni, Dip.Matematica, Università "Tor Vergata", Roma
Abstract.
A well known result in one-dimensional complex dynamics states that every Fatou component of a rational function without critical points on its Julia set is eventually mapped onto a periodic parabolic or attracting basin. In joint work with Misha Lyubich we prove a corresponding statement for partially hyperbolic complex Henon maps.
For this talk in Rome I will focus on some of the complex analysis issues arising in the proof. No prior knowledge of complex dynamics is required.