Special Session on Automorphisms of Riemann Surfaces,
Subgroups of Mapping Class Groups and Related Topics
fomerly at Tufts University, Medford, MA now virtual
AMS meeting
March 19-20, 2022
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 |
S.
Allen Broughton*, Eduardo Brandani da Silva
|
Triangulations of unoriented
surfaces and quantum coding theory |
slides
data file
|
Charles
Anthony Camacho*, Dami Lee
|
An
infinite octavalent polyhedral surface that does
not cover the genus two Bolza curve
|
|
Marston
D E Conder*
|
Group
actions on pseudo-real surfaces
|
|
Jane
Gilman
|
Extending
Harvey's Surface Kernel Maps
|
|
Milagros
Izquierdo*, Sebastian Reyes Carocca
|
Families
of Riemann Surfaces with Large Symmetry
|
|
| Gareth
A. Jones*, Alexander K Zvonkin |
Klein,
dessins d'enfants and projective primes
|
|
Ewa
Kozlowska-Walania*
|
Some
properties of extremal Riemann surfaces
|
|
Dami
Lee*, Charles Anthony Camacho
|
Infinite
polyhedral surfaces that cover Fermat quartic
and Klein quartic
|
|
Alexander
Mednykh*, Ilya Mednykh
|
On
the number of holomorphic maps from one Riemann
surface onto another
|
|
Bjoern
Muetzel*, Peter Buser, Eran Makover
|
Short
homology bases for hyperelliptic hyperbolic
surfaces
|
slides
|
Mariela
Carvacho, Jen Paulhus*, Tom Tucker, Aaron Wootton
|
Groups
which act with almost all signatures
|
slides
|
Yulan
Qing*
|
Sublinearly
Morse Boundary of Groups
|
|
Sebastian
Reyes-Carocca*
|
Nilpotent
groups of automorphisms of Riemann surfaces
|
|
Jacob
Russell*
|
Geometric
finiteness and surface group extensions
|
|
Tony
Shaska*, Andrew Obus
|
Superelliptic
curves with many automorphisms and CM Jacobians
|
slides
|
Thomas
W. Tucker*, Marston Conder
|
Genus
Spectrum Density for Signatures
|
|
Aaron
Wootton*
|
Cyclic
surfaces with multiple defining equations
|
|
|
