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arXiv · 1907.08102

Minuscule Schubert calculus and the geometric Satake correspondence

Dave Anderson·Antonio Nigro
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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.

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Dave Anderson, Antonio Nigro. 2019-07-18. Minuscule Schubert calculus and the geometric Satake correspondence. https://arxiv.org/abs/1907.08102

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