Prof.Walter FREYN(Technische Universität Darmstadt & IHÉS)
Amphithéâtre Léon Motchane (Institut des Hautes Etudes Scientifiques)
Amphithéâtre Léon Motchane
Institut des Hautes Etudes Scientifiques
35, route de Chartres
We construct affine Kac-Moody symmetric spaces. These spaces are associated to affine Kac-Moody algebras in a similar way as finite dimensional Riemannian symmetric spaces are associated to finite dimensional simple Lie algebras. Affine Kac-Moody symmetric spaces are constructed as tame Fréchet manifolds and equipped with a weak Lorentzian metric. We describe their classification and explain their geometry.