Speaker:
Owen Garnier (Universidad de Sevilla)
Email:
owen.garnier@math.cnrs.frLocation:
Seminario I del IMUS
Date:
Wed, 6 may 2026 12:00
Bio:
I am a postdoctoral researcher in Seville. I work on braid groups, Garside groups and related objects. I'm especially interested in generalizing known results to Garside groupoids.
Image:
Parabolic subgroups are important subgroups defined in Coxeter groups and their associated Artin groups. In both settings, the normalizer of a parabolic subgroup decomposes as a semidirect product which is understood combinatorially by introducing a suitable groupoid. For Coxeter groups, this groupoid is the Brink-Howlett groupoid, for Artin groups it is the ribbon groupoids. This talk will start by presenting these "classical" groupoids. I will then present a joint work with E. Heng, A. Licata and O. Yacobi, in which we provide a geometric interpretation of these groupoids using the so-called Tits cone intersection attached to a parabolic subgroup.