Automorphisms of Riemann Surfaces and Related Topics
Portland State University, Portland, OR - April 14-15,
2018
AMS Info, Organizers, Invitation and
Abstract Submission
Organizers:
Description of the session
Automorphism groups of surfaces have been studied for
many years with major results dating back to Hurwitz,
Klein, and Wiman. In recent years there has been a major
revival in this area, due to its close relationship to
Teichmuller theory, mapping class groups, and the
Belyi/Grothendieck theory of maps and dessins d'enfant
on algebraic curves. Advances in combinatorial and
computational group theory have made many more examples
available as opportunities to test conjectures and new
approaches. The goal of this session is to explore
recent advances in this area and applications to other
areas of mathematics. Topics of the session include, but
are not limited to:
Topics (in no particular order)
- Compact Riemann surfaces and their automorphisms
- Klein surfaces and their automorphisms
- Galois extensions of function fields
- Dessins d’enfant and quasi-platonic surfaces
- Fields of definition and moduli fields
- Defining equations for surfaces
- Finite subgroups of mapping class groups
- Applications to moduli and Teichmüller problems
- Action of the mapping class group on Teichmuller
space
- Jacobians of curves with automorphisms
- Group theoretic computational methods
List of participants/authors and talks, ordered by
presenter
A star indicates the presenter of multi-author papers.
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