Reducedness of affine Grassmannian slices in type A

DOI10.1090/proc/13850zbMath1379.22019arXiv1611.06775OpenAlexW2964337393MaRDI QIDQ4596013

Dinakar Muthiah, Alex Weekes, Oded Yacobi, Joel Kamnitzer

Publication date: 8 December 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.06775

zbMATH Keywords

Poisson structureaffine Grassmannianspherical Schubert varietyWeynman's equations.

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Loop groups and related constructions, group-theoretic treatment (22E67)

Related Items (4)

Branes, quivers, and the affine Grassmannian ⋮ A quantum Mirković-Vybornov isomorphism ⋮ Shifted quantum affine algebras: integral forms in type \(A\) ⋮ Hamiltonian reduction for affine Grassmannian slices and truncated shifted Yangians

Cites Work

• Yangians and quantizations of slices in the affine Grassmannian
• Affine Grassmannians and the geometric Satake in mixed characteristic
• The equations of conjugacy classes of nilpotent matrices
• On a reducedness conjecture for spherical Schubert varieties and slices in the affine Grassmannian
• Sheaves on a loop group and Langlands duality
• Highest weights for truncated shifted Yangians and product monomial crystals
• Geometric Langlands duality and representations of algebraic groups over commutative rings
• Towards a mathematical definition of Coulomb branches of 3-dimensional \(\mathcal{N} = 4\) gauge theories. II.
• Coulomb branches of \(3d\) \(\mathcal{N}=4\) quiver gauge theories and slices in the affine Grassmannian
• Semiinfinite Flags. I. Case of global curve $P^1$
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