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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:field
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gptkb:Mathematics
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gptkbp:hasConcept
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Correspondence between Galois groups and automorphic forms
Functoriality
Reciprocity
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gptkbp:hasSubfield
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gptkb:Number_theory
gptkb:Algebraic_geometry
gptkb:Representation_theory
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https://www.w3.org/2000/01/rdf-schema#label
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Langlands program
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gptkbp:influenced
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gptkb:Algebraic_geometry
gptkb:Representation_theory
gptkb:Geometric_Langlands_program
Modern number theory
Proof of Fermat's Last Theorem
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gptkbp:notableAchievement
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gptkb:Base_change_for_GL(2)
gptkb:Geometric_Langlands_correspondence
gptkb:Proof_of_Sato–Tate_conjecture
Modularity theorem
Functoriality principle
Proof of local Langlands conjecture for GL(n)
Reciprocity laws
Work on Galois representations
Work on L-functions
Work on Shimura varieties
Work on automorphic forms
Work on class field theory
Work on motives
Work on trace formula
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gptkbp:notablePerson
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gptkb:Andrew_Wiles
gptkb:Jean-Pierre_Serre
gptkb:Robert_Langlands
gptkb:Michael_Harris
gptkb:Edward_Frenkel
gptkb:Laurent_Lafforgue
gptkb:Pierre_Deligne
gptkb:Vladimir_Drinfeld
Richard Taylor
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gptkbp:proposedBy
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gptkb:Robert_Langlands
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gptkbp:relatedTo
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gptkb:Class_field_theory
gptkb:Modular_forms
gptkb:Shimura_varieties
gptkb:Trace_formula
L-functions
Galois representations
Automorphic representations
Motives
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gptkbp:yearProposed
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1967
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gptkbp:bfsParent
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gptkb:Robert_Langlands
gptkb:lion
gptkb:Vladimir_Drinfeld
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gptkbp:bfsLayer
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4
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