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Spring Topology and Dynamical Systems Conference 2008
March 13-15, 2008
University of Wisconsin Milwaukee and Marquette University
Milwaukee, WI, USA

Organizers
Ric Ancel, Karen Brucks, Craig Guilbault, Chris Hruska, Suzanne Hruska, Boris Okun (UWM); Paul Bankston (Marquette); Lois Kailhofer (Alverno College).

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A new link between Teichmueller thoery and complex dynamics
by
Sarah Koch
Cornell University

Inspired by Thurston's theorem of the characterization of rational maps, J. H. Hubbard posed the "twisted rabbit" problem. This problem was recently solved by L. Bartholdi and V. Nekrashevych using original techniques involving iterated monodromy groups. A key part of their solution contains the construction of a map on a certain moduli space. We discuss Thurston's theorem and present the "twisted rabbit" problem. We then generalize the construction of these Bartholdi-Nekrashevych maps and discuss their dynamical significance.

Date received: January 25, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawk-26.