The classical symmetric space $Q_n$ of positive definite quadratic forms and Culler Vogtmann Outer Space CV$_n$ are major tools in the study of GL($n, Z$) and Out($F_n$), respectively. The class of right-angled Artin groups (RAAGs) is a natural extension of free groups and free abelian groups, which has featured prominently in the study of CAT(0) cube complexes and low-dimensional topology. Let $A$ be a RAAG. We build a finite-dimensional, contractible outer space $O_A$ on which Out($A$) acts with finite point stabilizers. This construction generalizes that of $Q_n$ and CV$_n$ and blends features of both. In this talk, we will describe the construction of $O_A$, then discuss open questions and directions for further study. This is joint work with Ruth Charney and Karen Vogtmann.
De Yair Minsky
De Ursula Hamenstädt
De Dawid Kielak
De Radhika Gupta
De Anne Lonjou
De Piotr Przytycki
De Vincent Guirardel
De Federica Fanoni
De Corey Bregman
De Richard D. Wade
De Sebastian Hensel
De Stephen Coombes , Peter Liddle
De Ariane Trescases
De Albert Schwarz
De Stephen Coombes , Peter Liddle
De Victor Kleptsyn
De François-Xavier Vialard
