Aaron Wootton, University of Portland, wootton@up.edu
Anthony Weaver, Bronx Community College and CUNY, anthony.weaver@bcc.cuny.edu
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

List of talks oredered by presenter

Presenter	Title (click for abstract)	Links
Allen Broughton	Classifying Pairs of Fuchsian Groups of Finite Type	slides
Francisco Javier Cirre	Double coverings of hyperelliptic real algebraic curves
Marston Conder	Combinatorial group-theoretic methods in the study of automorphisms of maps and surfaces
Arsen Elkin	On endomorphism algebras of hyperelliptic jacobians.
Jose Javier Etayo	The symmetric crosscap number of the groups $C_{m}\times D_{n}$
Frederick P. Gardiner	Finite earthquakes and the associahedron	paper
Jane Gilman	Canonical Forms for Conjugacy Classes of Prime Order Symplectic Matrices in Sp(2g,Z)
Ernesto Girondo	Triangle Fuchsian groups and surfaces with many automorphisms
Darren Glass	The relationship between p-ranks and automorphism groups
Gabino Gonzalez-Diez	Generalized Fermat curves.
Michael Jackson	Strong Symmetric Genus and Generalized Symmetric Groups of Type $G(n,3)$
Gareth Jones	Complete bipartite maps, factorisations of groups, and generalised Fermat curves
Sudeb Mitra	Some metric properties of the Teichm\"uller space of a Riemann surface rel a closed subset
Denis Sjerve	Invariant Spin Structures on Riemann Surfaces
Tom Tucker	Gap-filling for the Symmetric Genus of a Group
Anthony Weaver	The largest non-genus of ${\Bbb Z}_{pq}$ and the Frobenius problem
James S Wolper	Vanishings of Theta on the Jacobian of Bring's Curve (Numerical Results)
Aaron Wootton	The Full Automorphism Group of a Cyclic $p$-gonal Surface