Dehn functions of Bestvina—Brady groups

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• Jerónimo García-Mejía, Oxford
• Friday 23 May 2025, 13:45-14:45
• MR20.

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

Bestvina and Brady introduced a broad class of groups—now known as Bestvina—Brady groups—that have played a significant role in geometric group theory, particularly due to their exotic finiteness properties. In this talk, we will focus on the Dehn functions of finitely presented Bestvina—Brady groups. The Dehn function is a fundamental quasi-isometry invariant which can be thought as a quantitative version of a group’s finite presentability.

I will present new results that generalise previous known work and give a complete description of Dehn functions of all finitely presented Bestvina–Brady groups.

This talk is based on joint work with Yu-Chan Chang and Matteo Migliorini.

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

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