EVENT DETAILS AND ABSTRACT

Title: Algebraic Dynamics: Contraction, Finiteness, and Transversality Principles
Speaker: Professor Adam Epstein
Speaker Info: SUNY -- Stonybrook
Brief Description:
Special Note:
Abstract:

We give an elementary proof of an improved Fatou-Shishikura bound on the number of nonrepelling cycles of a rational map of the Riemann sphere. The argument centers on a study of the eigenvectors of linear pushforward operators on spaces of meromorphic quadratic differentials.