Dynamics Seminar

Russell Lodge

(Jacobs University)

"Escaping dynamics and infinite-dimensional Teichmueller theory"


Date: Tue, February 9, 2016
Time: 14:15
Place: Research I Seminar Room

Abstract: A primary concern of holomorphic dynamics is the classification of dynamical systems in terms of combinatorics. In the realm of transcendental entire functions with escaping post-singular orbits, noteworthy success has been achieved in the classification of particular families. However, until now there is no general unified framework for proving such results. I will use some powerful tools from infinite-dimensional Teichmueller theory (e.g. the frame mapping theorem) to yield a much more conceptual approach to such classification problems. There is every expectation that these methods will then apply to many new families of transcendental functions.