Minuscule Schubert calculus and the geometric Satake correspondence
Algebraic Geometry
2021-01-26 v2 Combinatorics
Abstract
We describe a relationship between work of Laksov, Gatto, and their collaborators on realizations of (generalized) Schubert calculus of Grassmannians, and the geometric Satake correspondence of Lusztig, Ginzburg, and Mirkovi\'c and Vilonen. Along the way we obtain new proofs of equivariant Giambelli formulas for the ordinary and orthogonal Grassmannians, as well as a simple derivation of the "rim-hook" rule for computing in the equivariant quantum cohomology of the Grassmannian.
Keywords
Cite
@article{arxiv.1907.08102,
title = {Minuscule Schubert calculus and the geometric Satake correspondence},
author = {Dave Anderson and Antonio Nigro},
journal= {arXiv preprint arXiv:1907.08102},
year = {2021}
}
Comments
37 pages, with appendix on Pfaffians and spinors; v2 updates and corrects some references