Abstract: Lorentzian quasi-Fuchsian manifolds are pseudo-Riemannian analogues of the Riemannian convex-cocompact hyperbolic manifolds. I present recent joint work with Colin Guillarmou and Daniel Monclair, in which we define a meromorphic resolvent for the Lorentzian Laplace-Operator on a three-dimensional quasi-Fuchsian manifold. Its poles are the quantum resonances, and we establish a quantum-classical correspondence with the poles of the resolvent of the generator of the (extended) space-like geodesic flow.
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