Automorphisms of Riemann Surfaces and Related Topics
Loyola University, Chicago IL - October 3-4, 2015
AMS Info, Organizers, Invitation and
Abstract Submission
Organizers:
Description of the session
Automorphism groups of surfaces have been studied for
many years with major results dating back to Klein and
Wiman. 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. Moreover the area has strong links to topology,
number theory and combinatorics in the area of
Teichm\"uller spaces, mapping class groups and the
Grothendieck-Teichmüller theory of Dessins D'enfants.
The goal of this session is to explore recent advances
in this area and applications to other areas of
mathematics. Topics of the session include, but are not
limited to:
Topics (in no particular order)
- Compact Riemann surfaces and their automorphisms
- Klein surfaces and their automorphisms
- Galois extensions of function fields
- Hurwitz curves, and quasi-platonic surfaces
- Fields of definition and moduli fields
- Dessins d’enfants
- Defining equations for surfaces
- Automorphisms of curves of over arbitrary fields
- Jacobians of curves with automorphisms
- Finite subgroups of mapping class groups
- Applications to moduli and Teichmüller problems
- Group theoretic computational methods
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 |
| Alejandra Alvarado*, Edray Goins,
Luis A Melara |
Approximating
Coefficients of Shabat Polynomials |
slides |
| Leonardo Azopardo*,Maxim Millan,
Sarah Thomaz |
Visualizing
Dessins d'Enfants on the Torus |
slides |
| Allen Broughton |
Symmetric
surfaces with quasi-platonic PSL(2,q) action |
slides
table |
| Mariela Carvacho |
Isogenous
decomposition of the Jacobian of generalized
Fermat curves |
slides |
| Javier Cirre*, Emilio Bujalance,
Peter Turbek |
Lifting
the hyperelliptic involution of a Klein
surface |
slides |
| Rachel Davis*, Edray Goins |
Galois
Theory of a Quaternion Group Origami |
slides |
| Cifford Earle |
Some
quasiconformal homeomorphisms of compact Riemann
surfaces |
|
| Jane Gilman |
Automorphisms
and Primitive Curve Lengths on Pairs of
Pants |
slides |
| Edray Goins |
Belyi
Maps on Elliptic Curves and Dessin d'Enfants on
the Torus |
slides |
| Gabino Gonzalez-Diez |
The
action of the absolute Galois group on
quasiplatonic curves |
slides |
| Milagros Izquierdo*, Antonio Costa,
Ana Porto |
On
Branch Loci of Moduli Spaces of Hyperelliptic
Klein Surfaces with one boundary component |
slides |
| Yaacov Kopeliovich |
Thomae
and Jacobi type formulas for cyclic covers. |
slides |
| Bronz McDaniels*, Danny Sweeney,
Sofia Lyrintzis, Yesid Sanchez |
Examples
of Belyi Maps for Elliptic Curves |
slides |
| Tony Shaska*, Lubjana Beshaj |
Julia
quadratic of superelliptic Riemann surfaces |
|
| Tom Tucker |
Kulkarni's
Theorem and finite groups acting on a surface
of genus g with g-1 prime |
slides |
| Peter Turbek*, Javier Cirre |
The
number of real ovals of a cyclic over of the
sphere |
slides |
| Ewa Tyszkowska |
On
(q,n)-gonal pseudo-real Riemann
surfaces |
slides |
| Tony Weaver |
A
coarse classification of elementary abelian
p-group actions |
slides |
| Aaaron Wootton*, Sebastian Bozlee |
Sufficiency
of the Riemann-Hurwitz Formula for the Existence
of a Group Action |
slides |
|
