Dirichlet-Selberg domains for Anosov subgroups

Selberg introduced a fundamental domain for discrete groups acting on SL(n,R)/SO(n) which is convex in the projective model. He showed that for uniform lattices, the domain is a finite-sided convex polyhedron. We give sufficient criteria for Anosov subgroups to admit finite-sided Dirichlet-Selberg domains. This is joint work with Colin Davalo.