Geometry and Analysis on Groups Research Seminar

"Geometry and Analysis on Groups" Research Seminar

Time: 21.04.20, 15:00–17:00
Location: Seminarraum 8, Oskar-Morgenstern-Platz 1, 2.Stock
Title: A generalization of the Tits Conjecture for Artin groups
Speaker: Kasia Jankiewicz (Chicago)
Abstract: Artin groups are a family of groups generalizing braid groups. Tits conjectured that the squares of the standard generators of an Artin group generate the "obvious" right-angled Artin group. The conjecture was proven in 2001 by Crisp and Paris. I will introduce a generalization of this conjecture, where we ask whether a larger collection of elements generates another "obvious" right-angled Artin subgroup. This alleged right-angled Artin group is in some sense as large as possible; Its nerve is homeomorphic to the nerve of the ambient Artin group. I will discuss some classes of Artin groups that we can prove it for, and give some applications. This is joint work with Kevin Schreve.