geometric Langlands conjecture for GL(n)

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:mathematical_concept
gptkbp:concerns	gptkb:Hecke_eigensheaves moduli stack of G-bundles local systems
gptkbp:field	gptkb:algebraic_geometry number theory representation theory
gptkbp:formedBy	gptkb:Vladimir_Drinfeld gptkb:Alexander_Beilinson
gptkbp:generalizes	gptkb:classical_Langlands_correspondence
https://www.w3.org/2000/01/rdf-schema#label	geometric Langlands conjecture for GL(n)
gptkbp:influenced	gptkb:quantum_field_theory gptkb:mirror_symmetry
gptkbp:involves	gptkb:D-modules categorification perverse sheaves automorphic sheaves
gptkbp:notableWork	Beilinson-Drinfeld's work on chiral algebras Gaitsgory's proof for GL(n)
gptkbp:provenBy	gptkb:Vladimir_Drinfeld gptkb:Alexander_Beilinson gptkb:Dennis_Gaitsgory gptkb:GL(2) GL(1)
gptkbp:relatedTo	gptkb:geometric_Satake_equivalence gptkb:Langlands_program gptkb:S-duality moduli of vector bundles moduli of local systems
gptkbp:sentence	equivalence between categories of D-modules on Bun_G and local systems for GL(n)
gptkbp:yearProposed	1980s
gptkbp:bfsParent	gptkb:Dennis_Gaitsgory_and_Jacob_Lurie_(2022_proof_for_GL(n))
gptkbp:bfsLayer	7