2 mars 2020

Boris Doubrov (Minsk)
Locally homogeneous 5-dimensional real hypersurfaces in C³

Plus d'infos...

Lieu : IMO ; salle 3L8.

Résumé : We consider the problem of classifying the real hypersurfaces in with transitive symmetry algebra up to the pseudogroup of (local) complex analytic transformations. A similar problem of classifying homogeneous hypersurfaces in C2 was first studied by Élie Cartan and has various applications in differential geometry. Our approach is based on passing to the complexification and first treating the corresponding geometric structures on 5-dimensional complex analytic manifolds, encoding the homogeneous structures by their algebraic data and then passing back to the real case using a combination of algebraic and geometric methods. .

Locally homogeneous 5-dimensional real hypersurfaces in C³  Version PDF