Given a group $G$, finding a geometric action of $G$ on a CAT(0) cube complex can be used to say some rather strong things about $G$. Such actions are not always easy to find, however, which makes it useful to have sufficient conditions, both for existence and for non-existence. This talk concerns the latter: we shall see a coarse geometric obstruction to a group admitting a cocompact cubulation. Based on joint work with Zach Munro.
