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Bordifying outer spaces for right-angled Artin groups

Lead Research Organisation: University of Warwick
Department Name: Mathematics

Abstract

For any arithmetic group, including SL(n,Z), Borel and Serre defined a bordification of the associated symmetric space; this is an extension of the symmetric space with a proper cocompact action of the arithmetic group, so can be used to study the cohomology and coarse geometry of the group. For the group of outer automorphisms of a free group, an analogous bordification of Outer space was constructed by Bestvina and Feighn. Right-angled Artin groups generalize both free and free abelian groups. Charney and Vogtmann have defined an outer space on which the outer automorphism group of any right-angled Artin group acts, generalizing both the symmetric space for SL(n,Z) and Outer space for Out(F_n), and the goal of this project is to construct an analogous bordification of this general outer space.

People

ORCID iD

Publications

10 25 50

Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/R513374/1 30/09/2018 29/09/2023
2105827 Studentship EP/R513374/1 30/09/2018 10/05/2022
NE/W503095/1 31/03/2021 30/03/2022
2105827 Studentship NE/W503095/1 30/09/2018 10/05/2022