Automorphisms of Riemann Surfaces and Related Topics
Pennsylvania State University, University Park, PA -
October 24-25, 2009
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-Teichm\"uller 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 suggested for special attention at
the Penn State conference
- more on the dictionary between categories e.g.,
finding the equation of surfaces
- group theoretic computational methods
- action of the mapping class group on Teichmuller
space including actions on Teichmuller discs
- Kleinian Groups
- Veech groups
- Riemann surfaces and vector bundles - moduli spaces
- Riemann surfaces of infinite type
- Fields of definition and moduli fields
- Jacobians of curves with automorphisms
Tucson Topics
- Compact Riemann surfaces and their automorphisms,
- Hurwitz curves, and quasiplatonic surfaces,
- Klein surfaces and their automorphisms,
- Galois extensions of function fields,
- Finite subgroups of mapping class groups,
- Defining equations for surfaces,
- Strong symmetric genus of groups,
- Genus spectra of families of groups,
- Automorphisms of curves of over arbitrary fields
- Applications to moduli and Teichm\"uller problems
Location of movie shown by Martson Conder
Video and the paper showing 3D visualisations of
regular maps. These were both created by Jarke J. van
Wijk, from Eindhoven. http://www.win.tue.nl/~vanwijk/regularmaps
List of talks, ordered by presenter
| Presenter and authors |
Title (click for abstract) |
Links |
Gabriel Bartolini
Antonio F. Costa
Milagros Izquiedo* |
On
the connectedness of the branch locus of the
moduli space of Riemann Surfaces I. |
slides |
Gabriel Bartolini*
Milagros Izquiedo |
On
the connectedness of the branch locus of the
moduli space of Riemann Surfaces II. |
|
Allen Broughton*,
Chris Judge |
Flat
Surfaces, Teichmueller Discs, Veech Groups, and
the Veech Tessellation |
slides |
Marston Conder*,
Emilio Bujalance,
Francisco Javier Cirre |
Extendability
of group actions on non-orientable surfaces |
slides |
Emilio Bujalance,
Francisco Javier Cirre* |
A
family of Riemann surfaces with orientation
reversing automorphisms (for consideration) |
slides |
Ernesto Girondo*,
David Torres |
Algebraic
equations of genus 2 Riemann surfaces with a
hyperelliptic uniform dessin |
slides |
J. Gilman*,
L. Keen |
Automorphisms
of Pants and Tori: Primitives and Palindromes |
|
| Yolanda Fuertes, Gabino
Gonzalez-Diez*, Ruben A Hidalgo, Maximiliano
Leyton |
The
full automorphism group of a family of
generalized Fermat curves |
slides |
| Michael Jackson |
Which
$(2,3,r)$ triangle groups give rise to the
strong symmetric genus of some finite group? |
slides |
| Gareth Jones, Yolanda Fuertes
(delivered by Gabino Gonzalez-Diez) |
Beauville
surfaces and finite groups |
slides
paper |
| Ewa Kozlowska-Walania |
Pairs
of symmetries of Riemann surfaces |
slides |
| Yaacov Kopeliovich |
Towards
Thomae formula for general cyclic covers of the
Sphere |
slides
preprint |
| Jennifer Paulhus (unable to
attend) |
Decomposing
Jacobian varieties using automorphism groups |
slides |
| Pisanski Toma\v z, Alen Orbani\' c,
Daniel Pellicer*, Thomas W Tucker, Arjana \v
Zitnik |
Edge-transitive
tessellations with non-negative Euler
characteristic |
slides |
| Emma Previato |
Riemann
surfaces with automorphisms: Aspects of dynamics |
|
Ernesto Girondo,
David Torres* |
Genus
2 Bely\u{\i} surfaces with a unicellular uniform
dessin |
slides |
| Tom Tucker |
Seeing
symmetries of surfaces in 3-space |
slides |
| Ewa Tyszkowska |
Application
of theory of coverings in a study of Riemann
surfaces |
|
Anthony Weaver*,
Cormac O'Sullivan |
The
largest non-genus of a cyclic group |
slides
paper |
Gareth Jones,
M. Streit,
Jurgen Wolfart* |
Wilson's
operations on regular dessins and cyclotomic
fields of definition |
slides |
| James Wolper (unable to attend) |
Automorphism
Groups and Moduli Spaces of Vector Bundles |
|
Aaron Wootton*,
J.W. Anderson |
Bounding
the Number of Group Actions on a Surface of
Fixed Genus |
|
Coy L.May,
Jay Zimmerman* |
The
2-groups of odd strong symmetric genus |
slides |
|
