Graduate Student Colloquium
Laura DeMarco
UIC
The dynamical shape of a complex polynomial
Abstract: A classification of the dynamics of polynomials in one complex variable has remained elusive, even when considering only the simpler "structurally stable" polynomials. In this talk, I will describe the basics of polynomial iteration, leading up to recent results in the direction of a complete classification. In particular, I will describe a (singular) metric on the complex plane induced by the iteration of a polynomial. I will explain how this geometric structure relates to topological conjugacy classes within the moduli space of polynomials.
Friday November 20, 2009 at 3:00 PM in SEO 636