Outer Space for Right-Angled Artin Groups

Outer Space for Right-Angled Artin Groups

Ruth Charney, Brandeis University

Online Talk 

Zoom link: https://princeton.zoom.us/j/96282936122

Passcode: 998749

Right-angled Artin groups (RAAGs) span a range of groups from free groups to free abelian groups, and thus their (outer) automorphism groups range from Out(F_n) to GL(n,Z).  These two classes of automorphism groups have been extensively studied from a topological and dynamical point of view using the action of GL(n,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.