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Organizing Committee
Georgia Institute of Technology
Indiana University
University of Michigan
Abstract
Thurston maps are orientation-preserving branched covering maps of the two-sphere to itself
for which the forward orbits of the branch points form a finite set. They arise in the classification
of complex dynamical systems.
Recent work has shown close connections between the combinatorial, topological, and
algebraic theory of Thurston maps and that of mapping class groups. The algorithmic and
computational theories of mapping class groups are highly advanced and have reached the
point of effective implementation via computer programs. However, such implementations for
Thurston maps are significantly less advanced. The aim of the proposed Hot Topic workshop is
to bring together researchers in the computational theory of mapping class groups and those in
the combinatorial theory of Thurston maps in order to make headway on fundamental problems.
This workshop is fully funded by a Simons Foundation Targeted Grant to Institutes.
for which the forward orbits of the branch points form a finite set. They arise in the classification
of complex dynamical systems.
Recent work has shown close connections between the combinatorial, topological, and
algebraic theory of Thurston maps and that of mapping class groups. The algorithmic and
computational theories of mapping class groups are highly advanced and have reached the
point of effective implementation via computer programs. However, such implementations for
Thurston maps are significantly less advanced. The aim of the proposed Hot Topic workshop is
to bring together researchers in the computational theory of mapping class groups and those in
the combinatorial theory of Thurston maps in order to make headway on fundamental problems.
This workshop is fully funded by a Simons Foundation Targeted Grant to Institutes.
This workshop is fully funded by a Simons Foundation Targeted Grant to Institutes.
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Lecture Videos
Johanna Mangahas
University of Buffalo
November 2, 2019 • 12:00 AM
Becca Winarski
University of Michigan
November 2, 2019 • 12:00 AM
James Belk
University of St Andrews
November 2, 2019 • 12:00 AM
Dzmitry Dudko
Stony Brook University
November 2, 2019 • 12:00 AM
Sarah Koch
University of Michigan, Ann Arbor
November 3, 2019 • 12:00 AM
Tatiana Firsova
Kansas State University
November 3, 2019 • 12:00 AM
S.Öykü Yurttas
Dicle University
November 2, 2019 • 12:00 AM
Saul Schleimer
University of Warwick
November 3, 2019 • 12:00 AM
Volodymyr Nekrashevych
Texas A&M University
November 3, 2019 • 12:00 AM
Dylan Thurston
Indiana University
November 3, 2019 • 12:00 AM