Uniformly Levi degenerate real hypersurfaces in C^n play an important role in CR-geometry and the theory of Hermitian Symmetric Domains. In this talk, I will first give a brief introduction to Moser's normal form approach in the study of geometry of real submanifolds in the complex n-dimensional space. This approach will then be applied to everywhere 2-nondegenerate hypersurfaces in C^n. I will discuss several recent results on the equivalence problem and symmetries of such manifolds. The talk is based on joint work with Ilya Kossovskiy, Jan Gregorovic and David Sykes.

campus Valrose
salle de conférence