| 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. |
