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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:application
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gptkb:Riemann–Hilbert_correspondence
representation theory of Lie algebras
theory of perverse sheaves
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gptkbp:category
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abelian category
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gptkbp:defines
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modules over a ring of differential operators
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gptkbp:field
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gptkb:algebraic_geometry
representation theory
differential algebra
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gptkbp:generalizes
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modules over commutative rings
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https://www.w3.org/2000/01/rdf-schema#label
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D-modules
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gptkbp:introduced
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gptkb:Kashiwara
gptkb:Bernstein
gptkb:Beilinson
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gptkbp:notableAchievement
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gptkb:Riemann–Hilbert_correspondence
gptkb:Beilinson–Bernstein_localization_theorem
gptkb:Kashiwara's_equivalence
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gptkbp:relatedTo
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partial differential equations
algebraic varieties
microlocal analysis
sheaf theory
algebraic D-modules
coherent D-modules
holonomic D-modules
singular support
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gptkbp:studiedIn
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gptkb:algebraic_geometry
representation theory
complex geometry
|
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gptkbp:usedFor
|
microlocal analysis
geometric representation theory
study of systems of linear partial differential equations
|
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gptkbp:bfsParent
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gptkb:Beilinson–Bernstein
gptkb:Brylinski–Kashiwara
gptkb:intersection_cohomology
gptkb:Geometric_Langlands_correspondence
gptkb:Geometric_Langlands_program
gptkb:Geometric_representation_theory
gptkb:Beilinson–Bernstein_localization
gptkb:geometric_Langlands_program
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gptkbp:bfsLayer
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6
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