Outer space for right-angled Artin groups

Abstract:

Right-angled Artin groups (RAAGs) span a range of groups from free groups to free abelian groups. Thus, their (outer) automorphism groups range from \(\Out(F_n)\) to \(\GL(n,\ZZ)\). Automorphism groups of RAAGs have been well-studied over the past decade from a purely algebraic viewpoint. To allow for a more geometric approach, one needs to construct a contractible space with a proper action of the group.

In this pair of talks we will construct such a space, namely an analogue of Culler-Vogtmann’s Outer Space for arbitrary RAAGs.

This is joint work with Corey Bregman and Karen Vogtmann.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

( chat | paper )

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Geometry and topology online

Series comments: You can also find up-to-date information on the seminar homepage - warwick.ac.uk/fac/sci/maths/research/events/seminars/areas/geomtop/

The talks start five minutes after the hour. Talks are typically 55 minutes long, including time for questions.

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