Abstract: The action of the mapping class group on Teichmüller space is central to our understanding of this group and its implications for low dimensional manifolds. Many of the same techniques have been used to study (outer) automorphism groups of free groups, using the action of the group on Culler-Vogtmann’s Outer Space. In this talk, I will present some current work with Bregman and Vogtmann on constructing a version of Outer Space to study automorphism groups of right-angled Artin groups.