University of Cambridge > Talks.cam > Geometric Group Theory (GGT) Seminar > Parabolic subgroups of two-dimensional Artin groups and systolic-by-function complexes

Parabolic subgroups of two-dimensional Artin groups and systolic-by-function complexes

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact .

Parabolic subgroups are central in the theory of Artin groups. It is not known whether the intersection of parabolic subgroups of any Artin group is a parabolic subgroup. It is believed that it is always the case, but the answer is only known for some families of Artin groups. In a recent article, Cumplido, Martin and Vaskou introduce a geometric strategy for approaching this question. In this talk we will show how to study the question in the two-dimensional case by using this strategy. To do so, we will introduce systolic-by-function complexes, which are a generalization of systolic complexes.

This talk is part of the Geometric Group Theory (GGT) Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2021 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity