Date & Time: Monday, August 10, 2015, 15:30-16:30.
Venue: Ramanujan Hall
Title: Dynamics of semigroups of entire maps in C^k.
Speaker: Sayani Bera, IISc Bangalore
Abstract: We study some properties of Fatou and Julia sets for a family of holomorphic endomorphisms of C^k, k >1. In particular, the family we consider is a semigroup generated by various classes of holomorphic endomorphisms of C^k. Here we generalize a result from the dynamics of the iterates single holomorphic function in C^k, which was proved by Fornaess-Sibony(1998). Also we define recurrent Fatou components in this setup and give a classification result.