Reductive groups, the loop Grassmannian, and the Springer resolution (Q1795187): Difference between revisions

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+Quantum groups, the loop Grassmannian, and the Springer resolution
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+Similarity Score: 0.9011275Amount 0.9011275
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+Similarity Score: 0.89733404Amount 0.89733404
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+Some extensions of the notion of loop Grassmannians
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+Similarity Score: 0.89566773Amount 0.89566773
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Latest revision as of 17:00, 4 April 2025

scientific article

Language	Label	Description	Also known as
English	Reductive groups, the loop Grassmannian, and the Springer resolution	scientific article

Statements

scholarly article

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Reductive groups, the loop Grassmannian, and the Springer resolution (English)

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Pramod N. Achar

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Inventiones Mathematicae

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publication date

16 October 2018

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full work available at URL

https://arxiv.org/abs/1602.04412

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MaRDI profile type

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Perverse coherent sheaves on the nilpotent cone in good characteristic

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Modular perverse sheaves on flag varieties. II: Koszul duality and formality.

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Modular perverse sheaves on flag varieties III: Positivity conditions

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The affine Grassmannian and the Springer resolution in positive characteristic

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An inversion formula for the Kazhdan-Lusztig polynomials for affine Weyl groups

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Quantum groups, the loop Grassmannian, and the Springer resolution

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Koszul Duality Patterns in Representation Theory

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Equivariant sheaves and functors

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Cohomology of tilting modules over quantum groups and \(t\)-structures on derived categories of coherent sheaves

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Representations of semisimple Lie algebras in prime characteristic and the noncommutative Springer resolution

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Singular Localization and Intertwining Functors for Reductive Lie Algebras in Prime Characteristic

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Localization of modules for a semisimple Lie algebra in prime characteristic (with an appendix by R. Bezrukavnikov and S. Riche, Computation for \(\text{sl}(3))\)

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On Koszul duality for Kac-Moody groups.

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Frobenius splitting methods in geometry and representation theory

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Kazhdan-Lusztig conjecture and holonomic systems

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Decomposition of tensor products of modular irreducibles for SL2

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An inversion formula for relative kazhdan—lusztig polynomials

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Sheaves on affine Schubert varieties, modular representations, and Lusztig’s conjecture

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Semiinfinite Flags. I. Case of global curve $P^1$

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Cohomology of Lie Algebras and Algebraic Groups

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Construction of central elements in the affine Hecke algebra via nearby cycles

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Graded Artin algebras

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Equivariant cohomology, Koszul duality, and the localization theorem

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The p-canonical basis for Hecke algebras

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Parity sheaves and tilting modules

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Kazhdan-Lusztig conjecture for affine Lie algebras with negative level

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Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. II: Nonintegral case

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On the Kazhdan-Lusztig polynomials for affine Weyl groups

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Tensor Structures Arising from Affine Lie Algebras. I

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Tensor Structures Arising from Affine Lie Algebras. III

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Tensor Structures Arising from Affine Lie Algebras. IV

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Monodromic systems on affine flag manifolds

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On the Exotic t-Structure in Positive Characteristic

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Exotic tilting sheaves, parity sheaves on affine Grassmannians, and the Mirković-Vilonen conjecture

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Linear Koszul duality

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Linear Koszul duality. II: Coherent sheaves on perfect sheaves.

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Geometric Langlands duality and representations of algebraic groups over commutative rings

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Geometric braid group action on derived categories of coherent sheaves

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Koszul duality and modular representations of semisimple Lie algebras

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Tilting modules and the p-canonical basis

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On the relation between intersection cohomology and representation theory in positive characteristic.

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Modular intersection cohomology complexes on flag varieties

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Schubert calculus and torsion explosion

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Algebraic representations and constructible sheaves

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Weights of mixed tilting sheaves and geometric Ringel duality

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00222-018-0805-1

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Sitelinks

Mathematics(1 entry)

mardi Publication:1795187

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