Automorphisms of Riemann Surfaces and Related Topics
Pennsylvania State University, University Park, PA - October 24-25, 2009

AMS Info, Organizers, Invitation and Abstract Submission

• 2009 Fall Eastern Section Meeting
• University Park, PA, Pennsylvania State University October 24-25, 2009 (Saturday - Sunday).
• Meeting #1052
• AMS conference site program page
• Link to AMS Special Session Program

• Aaron Wootton, University of Portland, wootton@up.edu
• Anthony Weaver, Bronx Community College, the City University of New York, anthonyweaver@mac.com
• S. Allen Broughton, Rose-Hulman Institute of Technology, brought@rose-hulman.edu

Description of the session

Automorphism groups of surfaces have been studied for many years with major results dating back to Klein and Wiman. In recent years there has been a major revival in this area mainly due to the great advances in computer algebra systems, such as GAP, and the advances in finite group theory such as the classification of finite simple groups. Moreover the area has strong links to topology, number theory and combinatorics in the area of Teichm\"uller spaces, mapping class groups and the Grothendieck-Teichm\"uller theory of Dessins D'enfants. 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 suggested for special attention at the Penn State conference

• more on the dictionary between categories e.g., finding the equation of surfaces
• group theoretic computational methods
• action of the mapping class group on Teichmuller space including actions on Teichmuller discs
• Kleinian Groups
• Veech groups
• Riemann surfaces and vector bundles - moduli spaces
• Riemann surfaces of infinite type
• Fields of definition and moduli fields
• Jacobians of curves with automorphisms

• Compact Riemann surfaces and their automorphisms,
• Hurwitz curves, and quasiplatonic surfaces,
• Klein surfaces and their automorphisms,
• Galois extensions of function fields,
• Finite subgroups of mapping class groups,
• Defining equations for surfaces,
• Strong symmetric genus of groups,
• Genus spectra of families of groups,
• Automorphisms of curves of over arbitrary fields
• Applications to moduli and Teichm\"uller problems

Location of movie shown by Martson Conder

Video and the paper showing 3D visualisations of regular maps. These were both created by Jarke J. van Wijk, from Eindhoven. http://www.win.tue.nl/~vanwijk/regularmaps

List of talks, ordered by presenter