GT ADG-Systèmes DynamiquesOn the Branner-Hubbard conjecture on Cantor Julia set, Is
Tuesday 24 May 2011 13:30 - Orléans - Salle de Séminaire
In the series of my talks, we will prove that athe filled-in Julia set of a polynomial is a Cantor set if and only if each connected component of the filled-in Julia set containing critical points is net periodic. This result was a conjecture raised by Branner and Hubbard in 1992. The method we developed here can also be used to study the local connectivity of the boundary of the bounded critical Fatou component for polynomials.