Fakulta matematiky, fyziky
a informatiky
Univerzita Komenského v Bratislave

Algebraic Graph Theory International Webinar (24.1.2023)

v utorok 24.1.2023 o 19:00 hod.

23. 01. 2023 11.08 hod.
Od: Róbert Jajcay

The organizers of the Algebraic Graph Theory International Webinar would like to invite you to join us and other colleagues on Januar 24, 2023, at 7pm Central European Summer Time (= 6pm UTC), for the next presentation delivered by Milagros Izquierdo. 

The title: Regular Maps and Curves with Large Number of Automorphisms

In 1878-79 Felix Klein gave Klein's Quartic as a 7-fold covering of the Riemann Sphere with monodromy group PSL(2,7) producing a tessellation of the Riemann surface imbedding with what he called `Linienz{\"u}ge'. In 1896, Anders Wiman gave two (smooth, irreducible) complex algebraic curves for each genus $g\ge 2$: one admitting an automorphism of order 4g + 2, and the other admitting an automorphism of order 4g. These curves are known as Wiman's curves of type I and II, respectively. These curves are determined by regular maps with large automorphism group. Wiman's curves of type II have exactly 8g orientation-preserving automorphisms, except in the case g = 2, when the curve has 48 automorphisms (and it provides the regular map of genus 2 having the maximum number of automorphisms, Bolza's curve). In 1978, Gareth Jones and David Singerman showed the close relation between maps (and hypermaps) and (complex structure of some) Riemann surfaces (and triangular Fuchsian. groups): Belyi curves (after the work of Gennadii V. Belyi 1979). In 1984, Alexander Grothendieck gave the dessins d'enfants (the maps and hypermaps) as a combinatorial method to study the action of the Absolute Galois Group.

The Zoom link for this semester is: 

Meeting ID: 871 9332 0713
Passcode: 653250

Further details may be found at http://euler.doa.fmph.uniba.sk/AGTIW.html

where you can also find the slides and the recordings of our previous presentations. Also, if you wish to advertise an AGT friendly conference on this page, please send us the link.  

Hoping to see you at the webinar, and wishing you all the best. 

Isabel HubardRobert Jajcay and Primoz Potocnik