Residual flags and Hilbert schemes

Date: 2022-06-02

Time: 11:00 - 12:00


Roy Skjelnes


I will introduce and discuss residual flags and their connection with Hilbert schemes. The space of residual flags of a given type is a smooth and projective variety. It is a bundle over a flag variety, and also a subvariety of the Hilbert scheme.  Closed subschemes of projective m-space that have specific geometric properties are residual flags.  One obtains a classification of the smooth Hilbert schemes by exploring the geometry of the residual flags. 

The talk is based on a joint work with Greg Smith.