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

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• Martín Blufstein (Universidad de Buenos Aires)
• Friday 12 November 2021, 13:45-14:45
• Zoom https://maths-cam-ac-uk.zoom.us/j/95208706709.

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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.

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