Special Session on Automorphisms of Riemann Surfaces
and Related Topics
University of Wisconsin-Milwaukee, Milwaukee, WI April
20-21, 2024
AMS Info, Organizers, Invitation and
Abstract Submission
Organizers:
Description of the session
The study of automorphism groups of Riemann surfaces is
classical with major results dating back to Klein and
Wiman. It is also a wide-reaching topic with strong
links to topology, number theory and combinatorics in
the area of mapping class groups, Teichmüller spaces,
and the theory of dessins d'enfants. In last couple of
decades there has been a major revival in this area
mainly due to great advances in computer algebra
systems, such as GAP, and 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 such as arithmetic geometry, arithmetic
dynamics, machine learning, etc. This session is the
latest in a long series of related sessions over 18
years which have each brought together recent PhDs in
the field with senior researchers. Based on the
interests of past speakers and popularity of past
topics, the topics of the session include, but are not
limited to:
Topics (in no particular order)
- Compact Riemann surfaces and their automorphisms
- Moduli and Teichmuller space, families of surfaces
- Dessins d’enfant (quasi-platonic Riemann surfaces)
and graphs on surfaces
- Klein surfaces, symmetries, and pseudo-real surfaces
- Genus spectra and signatures of group actions
- Jacobians and their automorphisms
- Automorphisms of rational maps P^d -> P^d
- Automorphisms of algebraic surfaces
List of participants/authors and talks, ordered by
presenter
A star indicates the presenter of multi-author papers.
| Participant/Authors |
Title (click for abstract) |
Links |
|
Allen Broughton |
|
|
|
Milagros Izquierdo |
|
|
|
Sudeb Mitra |
|
|
|
