Special Session on Automorphisms of Riemann Surfaces,
Subgroups of Mapping Class Groups and Related Topics
Tufts University, Medford, MA - March 21-22, 2020
This conference was cancelled by the AMS because
of the Corona Virus precautions.
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 Grothendieck-Teichmüller theory of Dessins
D'enfants. 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. 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 Teichmüller spaces, families of surfaces
- Dessins d’enfant, quasi-platonic surfaces, and Belyi
maps
- Klein surfaces, symmetries, and pseudo-real surfaces
- Genus spectra and strong symmetric genus of groups
- Signatures of group actions
- Jacobians of curves with automorphisms
- Related topics on curves in positive characteristic
- Mapping class groups and their subgroups
- Hyperelliptic and superelliptic 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 |
Equivalence of Finite Group
Actions on Riemann Surfaces and Algebraic Curves
|
|
|
Charles Camacho*, Dami Lee |
Geometric Realizations of
Quasiplatonic Cyclic 8-gonal Surfaces |
slides |
|
Emilio Bujalance, Javier Cirre*, Jesus Rodriguez |
Abelian group actions on
pseudo-real Riemann surfaces |
|
|
Allen Broughton, Antonio Costa*, Milagros
Izquierdo |
One Dimensional Equisymmetric
Strata in Moduli Spaces of Riemann Surfaces
|
slides
|
|
Marston D.E. Conder |
Group actions on pseudo-real
surfaces |
slides |
|
Rachel Davis |
Johnson morphisms:
definitions and related open questions
|
slides
|
|
Jane Gilman |
Extending Harvey's Surface
Kernel Maps |
|
|
Milagros Izquierdo*, Sebastián Reyes-Carocca |
On Large Groups of
Automorphisms of Riemann Surfaces
|
slides |
|
Gareth Jones |
A short proof of Greenberg's
Theorem |
slides paper |
|
Sadok Kallel*, Walid Taamallah |
Combinatorial Invariants of
Stratified Spaces |
|
|
Ewa Kozłowska-Walania |
Extremal Riemann surfaces and
their properties |
|
|
Charles Camacho, Dami Lee* |
Geometric realization of
genus three Fermat quartic as a triply
periodic polyhedral surface |
|
|
Alexander Mednykh |
Automorphisms of graphs and
Riemann surfaces acting with fixed points
|
|
|
Sudeb Mitra |
Real-analytic sections for
Teichm\"uller curves |
|
|
Bjoern Muetzel*, Peter Buser, Eran Makover |
Short non-separating loops on
hyperbolic hyperelliptic surfaces
|
|
|
Emma Previato |
Trigonal Cyclic Curves:
Modular Aspects |
|
|
Angel Carocca, Sebastián Reyes-Carocca* |
Riemann surfaces of genus
$1+q^2$ with $3q^2$ automorphisms
|
|
|
Gerhard Rosenberger*, Martin Kreuzer |
On the numbers of the form
$x^2 + 11y^2$. |
slides |
|
Samuel S. Schiavone*, John Voight, Michael Musty |
Computing, Cataloguing, and
Representing Belyi Maps |
|
|
Tony Shaska*, Yaacov Kopeliovich |
The addition on Jacobian
varieties from a geometric viewpoint
|
|
|
Tom Tucker*, Mariela Carvacho, Jennifer Paulhus,
Aaron Wootton |
Finite groups acting with
almost all signatures |
|
|
Tony Weaver |
Topological conjugacy of
group actions on surfaces via the (not-)
Burnside lemma |
|
|
Aaron Wootton |
Cyclic surfaces with multiple
defining equations. |
|
|
Coy L. May, Jay Zimmerman* |
The Largest Group Actions on
Riemann Surfaces of Genus g |
|
|
