Martin Kolar (Brno), Equivalence and symmetries of uniformly Levi degenerate hypersurfaces in C^n

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.