Outer space for right-angled Artin groups
Corey Bregman (Brandeis)
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 Ruth Charney and Karen Vogtmann.
algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry
Audience: researchers in the topic
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.
Organizers: | Saul Schleimer*, Robert Kropholler* |
*contact for this listing |