Compact, Lorentzian conformally flat manifolds

Any closed, flat Riemannian manifold is finitely covered by the torus, by Bieberbach’s classical theorem. Similar classifications have been pursued for closed, Riemannian conformally flat manifolds, as well as for closed, flat Lorentzian manifolds. I will discuss recent and ongoing work with Nakyung Lee and Bill Goldman to classifying closed, Lorentzian conformally flat manifolds when they have nilpotent holonomy.