Algebraic Geometry Seminar
Harry Tamvakis
University of Maryland
A Giambelli formula for isotropic Grassmannians
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.
Thursday April 17, 2008 at 4:00 PM in SEO 636