François Fillastre (Université de Cergy-Pontoise)

Title: Equivariant Minkowski problem in Minkowski space
Abstract: We present a class of convex bodies, which are invariant under the action of affine deformations of cocompact lattices of SO(n,1). They appear naturally in general relativity. Classical geometric problems can be brung into that setting, and their intrinsic formulations are on compact hyperbolic manifolds rather than on the round sphere. In dimension (2+1), those convex sets are related to the tangent space of Teichmueller space.