Dynamics Seminar

Bayani Dimasalang

(Jacobs University)

"Epstein's refined version of the Fatou-Shishikura inequality"


Date: Tue, December 9, 2014
Time: 14:15
Place: Research I Seminar Room

Abstract: I will give an outline of Adam Epstein's proof of his refined version of the Fatou-Shishikura Inequality, in which he investigates the injectivity of the linear operator I-F* on spaces of meromorphic quadratic differentials, giving an extension of Infinitesimal Thurston Rigidity to poles of any finite order in order to arrive at a non-perturbative and more algebraic proof of the classical result.