Book
Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics (editors A. Wootton, A. Broughton, J. Paulhus)
(2022)
Abstract
The study of automorphism groups of Riemann surfaces is classical with major
results dating back to Klein, Wiman, and Hurwitz. This area of mathematics has
strong links to topology, geometry, number theory, and combinatorics, spanning
topics like mapping class groups, Fuchsian groups, moduli and Teichm¨uller spaces,
and the theory of dessins d’enfant. In recent years there has been a major revival
in the area, mainly due to great advances in computer algebra systems such as
GAP and MAGMA, and advances in finite group theory such as the classification
of finite simple groups.
This volume was inspired by a series of six special session and four workshop,
starting in 2005. The last meeting was in 2022 with future biannual meetings under plan.
The volume contains two expository and 14 research works. The expository papers
take both a historical perspective and look at future direction in the research area.
Keywords
- Riemann surface,
- automorphism group,
- algebraic curve,
- mapping class group,
- moduli space,
- Klein surface
Disciplines
Publication Date
Spring February, 2022
Editor
Aaron Wootton, S. Allen Broughton, Jennifer Paulhus
Publisher
American Mathematical Society
Series
Contemporary Mathematics
ISBN
978-1-4704-6025-9 (print); 978-1-4704-6776-0 (online)
DOI
https://doi.org/10.1090/conm/776
Citation Information
Sean A Broughton, Jennifer Paulhus and Aaron Wootton. Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics (editors A. Wootton, A. Broughton, J. Paulhus). 1Providence, RI, USAVol. 776 (2022) Available at: http://works.bepress.com/allen_broughton/103/