Rebecca Winarski (College of the Holy Cross): "Thurston theory: unifying topological and dynamical" - April 21, 2022

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This talk was part of the Dynamical Systems seminar at the University of Liverpool.

Abstract: Thurston proved that a non-Lattés branched cover of the sphere to itself is either equivalent to a rational map (that is: conjugate via a mapping class), or has a topological obstruction. The Nielsen–Thurston classification of mapping classes is an analogous theorem in low-dimensional topology. We unify these two theorems with a single proof, further connecting techniques from surface topology and complex dynamics. This is joint work with Jim Belk and Dan Margalit.


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  • Added:27 Jun 2022
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