Speaker: Ruth Charney (Brandeis University)
Title: 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 \( \text{GL}(n,\mathbb{Z}) \). These two classes of groups have been extensively studied from a geometric viewpoint, using the action of \( \text{GL}(n,\mathbb{Z}) \) on homogeneous space on the one hand, and the action of Out(\( F_n \)) on Culler-Vogtmann's "Outer Space" on the other. I will talk about joint work with Bregman and Vogtmann in which we intertwine these two ideas to construct an analogue of Outer Space for arbitrary RAAGs.