CRM: Centro De Giorgi
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Seminari di Sistemi Dinamici Olomorfi 2012-2013

seminar: Fatou Components in two complex dimensions

speaker: Han Peters (University of Amsterdam)

abstract: The iterative behavior of rational maps in two complex variables is not nearly as well understood as in one variable. In this talk we will focus on components of the Fatou set, that is, the set where the dynamics behaves orderly. In one dimension these Fatou components have been precisely described. In higher dimensions there are many open questions, both in terms of the topology and complex structure of the components and in terms of the behavior of the orbits. I will discuss what is currently known in the literature, and present recent results with Lyubich and with Boc-Thaler and Fornaess.


timetable:
Tue 15 Jan, 14:00 - 15:00, Sala Conferenze Centro De Giorgi
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