Automorphisms of Curves - University of Arizona, Tucson AZ - April 21-22, 2007

AMS Info

• 2007 Spring Western Section Meeting
• Tucson, AZ, April 21-22, 2007 (Saturday - Sunday)
• Meeting #1027
• Link to AMS Special Session Program

Organizers:

• 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. 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:

• 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

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