| Résume | Let G be a connected reductive algebraic group over the field of complex numbers C. Let Y=G/H be a spherical homogeneous space of G (a homogeneous space of special kind). Let G_0 be a real model (real form) of G, that is, a model of G over the field of real numbers R. In the talk I will discuss the following question: does there exist a G_0-equivariant real model Y_0 of Y? This is interesting even in the case when G = G' x G', where G' is a connected semisimple group over C, and H=G' embedded diagonally into G' x G'. (Our results immediately generalize from R to any field of characteristic 0.) This is a joint work with Giuliano Gagliardi (Tel Aviv - Hannover). No preliminary knowledge of spherical varieties will be assumed. |
