Gysin maps, duality and Schubert classes

Date: 
2016/04/22 Fri 10:30 - 12:00
Room: 
Room 152, Building No.3
Speaker: 
Piotr Pragacz
Affiliation: 
Polish Academy of Sciences
Abstract: 

We establish a Gysin formula for Schubert bundles
and a strong version of the duality theorem in Schubert calculus
on Grassmann bundles. We then combine them to compute the fundamental
classes of Schubert bundles in Grassmann bundles, which yields a new
proof of the Giambelli formula for vector bundles. This is a joint
work with Lionel Darondeau.