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.
Entries are given in order of presentation.
| Participant/Authors |
Title (click for details) |
Links |
|
Milagros Izquierdo |
Families
of Riemann Surfaces with Large Groups of
Automorphisms |
slides
matrix
|
| Aaron
D. Wootton*, Jennifer Paulhus, Thomas Tucker,
Mariela Carvacho |
Groups
acting with almost all signatures |
|
| Jennifer
Paulhus*, Aaron D. Wootton |
Classifying
actions of the alternating group on Riemann
surfaces |
|
| Eran
Makover*, Peter Buser, Bjoern Muetzel |
Short
homology bases for hyperelliptic hyperbolic
surfaces |
|
| Yvon
Verberne, Rebecca R Winarski* |
The
transitivity of pure Hurwitz classes of
dynamical branched covers of the sphere |
|
| Sean
Allen Broughton*, Antonio Costa, Milagros
Izquierdo |
Geometrically
Differentiating Modular Companions |
|
| Linden
Disney-Hogg*, Harry Braden |
Orbits
of Theta Characteristics |
|
| Gou
Nakamura |
The
group of automorphisms of Klein surfaces with
extremal metric disks |
|
| Maxime
Fortier Bourque |
Triangle
surfaces with large eigenvalue multiplicity |
|
| Elira
Shaska, Tony Shaska* |
Automorphism
loci of rational functions of the projective
line |
|
| Ewa
Kozlowska-Walania |
Extremal
Riemann surfaces, their properties and
applications |
|
| David
Swinarski |
A
series of graph curves with automorphisms |
|
| Anthony
Weaver |
Zero-sum
column sets and group actions on surfaces |
|
| Yaacov
Kopeliovich |
The
Fundamental Group of Ramified Covers of The
Sphere |
slides
|
| Kyoung-Seog
Lee, Han-Bom Moon* |
Derived
category of moduli space of vector bundles on
a curve |
|
| Sudeb
Mitra*, Arshiya Farhath.G |
Schwarz–Pick
systems and Teichmueller spaces |
|
|
