Algebraic Graph Theory Seminar - Jozef Širáň (26.2.2021)
Friday 26.2.2021 at 13:00, online
By: Martin Mačaj
Jozef Širáň (Slovak University of Technology):
Classification of orientably-regular maps of genus two
A map (i.e., a cellularly embedded connected graph) on an orientable surface is orientably-regular if the group of all orientation-preserving automorphisms of the map is regular on arcs of the embedded graph. It is well known that the number of (isomorphism classes of) orientably-regular maps on any compact orientable surface of genus g > 1 is finite. In the talk we will outline a way to classify these maps on the `simplest' such surface, of genus 2, with `bare hands', that is, with minimum knowledge of group theory.
Due to recent restrictions imposed on us in response to the worsening of the situation with Covid infections in Slovakia, we will switch to distance mode. You will receive an MS Teams link over which you will be able to follow the presentation, ask questions, comment, and possibly even offer some solutions. While it is not better than being personally in the lecture room, it is not a terrible way to keep in touch either. Let us hope that we will soon be able to attend the meetings in person.