Outer Space for Right-Angled Artin Groups

Explore the geometric properties of right-angled Artin groups (RAAGs) in this illuminating lecture from the Workshop on Cube Complexes and Combinatorial Geometry. Delve into the range of groups spanning from free groups to free abelian groups, and examine their outer automorphism groups. Investigate the geometric viewpoint of these groups, focusing on the action of GL(n,Z) on homogeneous space and the action of Out(F_n) on Culler-Vogtmann's "Outer Space." Learn about the collaborative work with Bregman and Vogtmann, which combines these concepts to construct an analogue of Outer Space for arbitrary RAAGs. Discover potential applications of these spaces and gain insights into the intricate world of combinatorial geometry and group theory.