Piotr Pragacz

Title: Dualities for Grassmann bundles

Abstract: 
The duality theorem of Schubert calculus allows us to determine the coefficients
of the expansion of any cycle on the Grassmannian in the basis of Schubert classes.
By using the Gysin map, we shall generalize this duality to Grassmann bundles.
We shall sketch analogous dualities for isotropic Grassmann bundles. If time will
allow, we shall show some applications. This is a joint work with Lionel Darondeau.