Simplical Volume of one-relator groups (Nicolaus Heuer, University of Oxford)

12.03.2019 10:30

A one-relator group is a group which admits a group presentation with a single relator r. These groups form a rich and well-studied class of groups in Geometric Group Theory.
I will introduce a notion of simplicial volume for one-relator groups and discuss a strong connection between this invariant and the stable commutator length of the defining relation r. This allows us to explicitly compute this volume in many cases.
As an application I will construct manifold with small but non-zero simplicial volume.
This is joint work with Clara Löh (University of Regensburg).


Room 623, Séminaire "Groupes et Géométrie"

Organisé par

Section de mathématiques


Nicolaus Heuer, University of Oxford

entrée libre


Catégorie: Séminaire

Mots clés: groupes et géométrie