Algebraic Graph Theory International Webinar (16.5.2023)

v utorok 16.5.2023 o 19:00 hod.

15. 05. 2023 11.39 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 May 16, 2023, at 7pm Central European Summer Time (= 5pm UTC, please note that we switched to summer time), for the next presentation delivered by Kan Hu. 

The title: Complete Regular Dessins and Skew Morphisms of Cyclic Groups

A dessin is a $2$-cell embedding of a bipartite graph into an oriented closed surface. A dessin is regular if its group of orientation- and color-preserving automorphisms acts transitively on the edges. If the underlying graph of a regular dessin is a complete bipartite graph, it is called a complete regular dessin. The automorphism group $G$ of a complete regular dessin with underlying graph $K_{m,n}$ is known to have an exact $(m,n)$-bicyclic factorization $G=\langle a\rangle \langle b\rangle$, where $\langle a\rangle\cong\mathbb{Z}_m,$ $\langle b\rangle\cong\mathbb{Z}_n$ and $\langle a\rangle\cap \langle b\rangle=1$. Moreover, all such dessins $D$ with $\mathrm{Aut}(D)$ isomorphic to $G$ correspond to the orbits of $\mathrm{Aut}(G)$ acting on the exact bicyclic generating pairs of $G$. This correspondence allows the use of group factorizations to classify and enumerate complete regular dessins, and to establish a new correspondence with certain pairs of skew morphisms of the cyclic groups. In this talk, we present an updated progress on the classification problem of complete regular dessins.

The Zoom link for this semester is:
Meeting ID: 871 9332 0713
Passcode: 653250

Further details may be found at

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