The "Levi Core"

15.07.2021 10:00 - 11:30

Gian Maria Dall'Ara, Scuola Normale Superiore Pisa

This is a joint work with S. Mongodi (Politecnico di Milano). I will introduce a basic geometric notion: the "core" of a distribution of subspaces on a manifold M, and I will specialize it to the Levi null distribution of a pseudoconvex CR manifold of hypersurface type. When the manifold is the boundary of a pseudoconvex domain, I will discuss how the Levi core relates to two important global invariants in several complex variables: the Diederich-Fornaess index and the "D'Angelo class", an object appearing in the work of D'Angelo, Boas and Straube. This line of research is very much related with recent work of B. Liu, M. Adachi, and J. Yum.

Organiser:
Bernhard Lamel
Location:
Zoom