Title: Dynamical portraits of rational maps
Speaker: Darragh Glynn
Abstract: The iteration of rational maps on the Riemann sphere is fundamental in complex dynamics. There is a special class of `postcritically finite’ (or PCF) rational maps where the behaviour under iteration is encoded by a finite directed graph called a dynamical portrait. The aim of this talk is to explore which dynamical portraits are possible for PCF rational maps and to present some strategies with a combinatorial and topological flavour, including Thurston’s celebrated Topological Characterisation of Rational Maps.
Some snacks will be provided before and after the talk.