Katarína Hrináková & Deborah Oliveros

12:15 - 13:00 

Speaker: Katarína Hrináková, STU Bratislava

Title: Self-dual, self-Petrie-dual, and Möbius regular maps on linear fractional groups

Abstract:  Maps are cellular embeddings of graphs on compact surfaces. Regular maps are maps with highest possible level of symmetry. A map is regular if its automorphism group acts regularly on the set of its flags. Enumeration and classification of regular maps is usually approached in three different ways - by supporting surfaces, by underlying graphs, and by automorphism groups. In this talk we focus on regular maps whose automorphism group is isomorphic to ${\rm PSL}(2,q)$ and ${\rm PGL}(2,q)$ and will characterize those maps which are self-dual, self-Petrie-dual, or Möbius. 

 

 

13:15 - 14:00

Speaker: Deborah Oliveros, Universidad Nacional Autónoma de México

Title: Searching for perfection in hypergraphs

Abstract: Bipartite, interval graphs and transitive oriented graphs has been known as good examples of perfect graphs however not much is known about perfection in 3-hypergraphs, in this talk, we will present the family of oriended transitive 3-hypergraphs that arise from cyclic permutations and intervals in the circle, in order to search for the notion of perfection in hypergraphs.