Rose Morris-Wright: Parabolic Subgroups of Infinite Type Artin Groups

Abstract : Parabolic subgroups are the fundamental building blocks of Artin groups. These subgroups are isomorphic copies of
smaller Artin groups nested inside a given Artin group. In this talk, I will discuss questions surrounding how parabolic
subgroups sit inside Artin groups and how they interact with each other. I will show that, in an FC type Artin group, the
intersection of two finite type parabolic subgroups is a parabolic subgroup. I will also discuss how parabolic subgroups
might be used to construct a simplicial complex for Artin groups similar to the curve complex for mapping class groups.
This talk will focus on using geometric techniques to generalize results known for finite type Artin groups to Artin
groups of FC type.

CIRM VIRTUAL EVENT

Recorded during the meeting"Virtual Geometric Group Theory conference " the May 20, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Guillaume Hennenfent

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