University of Texas, Austin
Moduli spaces of constant curvature spacetimes
Abstract: A Margulis spacetime is the quotient of three-dimensional space by a free group of affine transformations acting properly discontinuously. Each of these manifolds is equipped with a flat Lorentzian metric compatible with the affine structure. I will survey some recent results, joint with Francois Gueritaud and Fanny Kassel, about the geometry, topology, and deformation theory of these flat spacetimes. In particular, we give a parameterization of the moduli space in the same spirit as Penner's cell decomposition of the decorated Teichmuller space of a punctured surface. I will also discuss connections with the negative curvature (anti de Sitter) setting.
After the Colloquium there will be a Meet and Greet Tea at 4:15 in SEO 300.
Wednesday January 15, 2014 at 3:00 PM in SEO 636