|Speaker:||Vijay Ravikumar (Tata Institute of Fundamental Research)|
|Title:||Triple Intersection Formulas for Isotropic Grassmannians|
|Date (JST):||Wed, Nov 06, 2013, 13:30 - 14:30|
|Place:||Seminar Room B|
A K-theoretic Pieri formula provides a convenient way to calculate the product of arbitrary Schubert classes with certain special classes in the Grothendieck ring of a homogeneous space. In this talk we calculate the K-theoretic triple intersection numbers of Pieri type, for Grassmannians of types B, C, and D. These can be used to quickly compute K-theoretic Pieri coefficients, and we hope they will lead to nice Pieri formulas in these cases.
Our method generalizes a geometric argument used by Hodge to prove the classical Pieri rule, and requires us to examine the projected Richardson varieties in the underlying projective space of the Grassmannian. The equations defining these projected Richardson varieties have applications outside of K-theory as well. In particular, we will discuss their use in studying the equivariant cohomology of Grassmannians of types B, C, and D.
|Remarks:||Please note that the schedule has been changed to *Wednesday, November 6* due to the evacuation drill of Kashiwa campus on November 7.|