Speaker
Jeronimo Garcia Mejia
(University of Warwick)
Description
Introduced by Bestvina and Brady in 1997, Bestvina–Brady groups form an important class of examples in geometric group theory and topology, known for having unusual finiteness properties. In this talk, I will focus on the Dehn functions of finitely presented Bestvina–Brady groups. The Dehn function of a group is a fundamental quasi-isometry invariant that, very roughly speaking, measures how difficult it is to fill loops by discs in spaces associated to the group. After reviewing known results, I will present a classification of the Dehn functions of Bestvina–Brady groups. This talk is based on joint work with Yu-Chan Chang and Matteo Migliorini.
Author
Jeronimo Garcia Mejia
(University of Warwick)