Dept Math & Stat UiT, Forskningsparken B459
  20 Mar 2025 14:00-15:30

Boris Doubrov (Minsk State University)

"CR geometry via finite type PDEs"

We show how CR geometries on hypersurfaces in C^n are related to complex finite type PDEs and induced pseudo-product structures via complexification procedure. This includes both cases of non-degenerate and degenerate Levi form. As applications we consider multiple examples of this correspondence including tubular hypersurfaces, Levi-degenerate examples and examples with with large symmetry.

Joint work with T. Morimoto and I. Zelenko.