Harry Tamvakis : A Giambelli formula for isotropic Grassmannians

Posted by , part of the Algebraic Geometry Seminar.

At

April 17, 2008, 4 p.m.

In

SEO 636

Abstract

The cohomology ring of the usual Grassmannian has been studied extensively for well over 100 years, but the analogous questions for symplectic and orthogonal Grassmannians X are still relatively unexplored. After an overview of the relevant history, I will discuss a Giambelli formula for isotropic Grassmannians, and the related theory of theta polynomials. The latter are a combinatorially explicit family of polynomials whose algebra agrees with the Schubert calculus on X. This is joint work with Anders Buch and Andrew Kresch.