Automorphisms of Curves  University of Arizona, Tucson AZ  April 2122, 2007
AMS Info
Organizers:
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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