Representation theory, Schubert calculus and algebraic topology of some embedded flag submanifolds

Abstract: In this talk we provide a representation-theoretical approach to computing characteristic classes of normal bundles of embeddings of real, complex and quaternionic Grassmannians, with the use of Schubert calculus, namely the Pieri formula. A consequence of these calculations is an alternative recursive way of computing characteristic classes of tangent bundles of Grassmannians.

mathematical physicsalgebraic topologydifferential geometryrepresentation theorystatistics theory

Audience: researchers in the topic

( slides | video )

Prague-Hradec Kralove seminar Cohomology in algebra, geometry, physics and statistics

Series comments: Virtual coffee starts on Zoom already 15 minutes before the seminar.