GTM seminar

Speaker: Takeshi Ikeda (Okayama University of Science)
Title: Pfaffian sum formula for the symplectic Grassmannians
Date (JST): Mon, Mar 24, 2014, 15:30 - 17:00
Place: Balcony A
Abstract: We study the torus equivariant Schubert classes of the Grassmannian of non-maximal isotropic subspaces in a symplectic vector space. We prove a formula that expresses an equivariant Schubert class as a sum of multi Schur-Pfaffians, whose entries are appropriate quadratic polynomials in the equivariantly modified special Schubert classes. Our result gives a proof to Wilson's formula, which generalizes the Giambelli formula for the ordinary cohomology proved by Buch-Kresch-Tamvakis, given in terms of Young's raising operators. The talk is based on joint work with Tomoo Matsumura.