Complete classification of Dehn functions of Bestvina-Brady groups

Jerónimo García-Mejía (University of Warwick)

Monday 11th May 15:00-16:00
Maths 311B

Abstract

Introduced by Bestvina and Brady in 1997, Bestvina–Brady groups form an important class of examples in geometric group theory and topology, known for exhibiting unusual finiteness properties. In this talk, I will focus on the Dehn functions of finitely presented Bestvina—Brady groups. The Dehn function of a finitely presented group is an important quasi-isometry invariant that, roughly speaking, provides a quantitative measure of the group’s finite presentability. After reviewing known results, I will present a complete classification of the Dehn functions of finitely presented Bestvina–Brady groups. This talk is based on joint work with Yu-Chan Chang and Matteo Migliorini.

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