Jerónimo Garcia-Mejia

Complete classification of the Dehn functions of Bestvina-Brady groups

In 1997, 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 of a group is a fundamental quasi-isometry invariant which can be thought as a quantitative version of the group’s finite presentability. In this talk I will present a complete classification of the Dehn functions of Bestvina-Brady groups.

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