Algebra/Topology Seminar

Speaker: Martin Blufstein

Title: Parabolic subgroups of two-dimensional Artin groups

Abstract: Parabolic subgroups are essential in the study of Artin groups. Motivated by what happens in Coxeter groups and braid groups we can ask the following question: is the intersection of parabolic subgroups of an Artin group a parabolic subgroup? In this talk we will show how to study this question in the two-dimensional case. To do so, we will introduce systolic-by-function complexes, which are a generalization of systolic complexes.