Orateur : José Gálvez Mateos (Universidad de Sevilla)

Résumé

Artin groups are defined from a set of generators $S$ and relations $aba\cdots=bab\cdots$, where the words are of the same length. Objects of great interest within the study of these groups are the standard parabolic subgroups, which are the subgroups generated by a subset of the generators. In this talk, we will present a problem related to the conjugation of these subgroups known as the ribbon conjecture. It asks whether two parabolic subgroups $P$, $Q$, we have that $gPg^{-1}=Q$ if and only if $g$ is the product of an element of $P$ and some special elements called ribbons.

page Indico de l'événement