An analogue of the curve complex for a right-angled Artin group.

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• Henry Wilton, UCL
• Wednesday 20 November 2013, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Ivan Smith.

A right-angled Artin group is defined from a finite graph as follows: the vertices are a generating set, and two vertices commute if they are joined by an edge. Although the definition is naive, right-angled Artin groups turn out to be very useful, and their automorphism groups are the subject of active research. I will present an approach to the study of their outer automorphism groups, motivated by analogy with mapping class groups of surfaces. The complex of curves is an important tool in the study of mapping class groups. The main feature of this talk will be a definition of analogous objects associated to the outer automorphism groups of right-angled Artin groups. This is joint work with Matthew Day.

This talk is part of the Differential Geometry and Topology Seminar series.

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