Affine Kac-Moody symmetric spaces

par Prof. Walter FREYN (Technische Universität Darmstadt & IHÉS)

jeudi 13 juin 2013, 16:45 → 17:45 Europe/Paris

Amphithéâtre Léon Motchane (Institut des Hautes Etudes Scientifiques)

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.