Geometric Langlands correspondence

URI: https://gptkb.org/entity/Geometric_Langlands_correspondence

GPTKB entity

Statements (55)

Predicate	Object
gptkbp:instanceOf	gptkb:logic
gptkbp:concerns	correspondence between local systems and automorphic sheaves moduli of G-bundles on algebraic curves
gptkbp:field	gptkb:algebraic_geometry gptkb:mathematics number theory representation theory
https://www.w3.org/2000/01/rdf-schema#label	Geometric Langlands correspondence
gptkbp:influenced	gptkb:quantum_field_theory gptkb:S-duality_in_physics gptkb:mirror_symmetry
gptkbp:influencedBy	gptkb:classical_Langlands_correspondence
gptkbp:notableWork	gptkb:Edward_Witten gptkb:David_Ben-Zvi gptkb:Dennis_Gaitsgory_and_Jacob_Lurie_(2022_proof_for_GL(n)) gptkb:Dmitry_Arinkin gptkb:Jonathan_Barlev gptkb:Michael_Finkelberg gptkb:Nick_Rozenblyum gptkb:Sam_Gunningham gptkb:Sam_Raskin gptkb:Tamas_Hausel gptkb:Vivek_Shende gptkb:Edward_Frenkel gptkb:Jacob_Lurie gptkb:Vladimir_Drinfeld gptkb:Alexander_Beilinson gptkb:Dennis_Gaitsgory gptkb:Roman_Bezrukavnikov gptkb:David_Nadler
gptkbp:proposedBy	gptkb:Vladimir_Drinfeld gptkb:Alexander_Beilinson
gptkbp:relatedTo	gptkb:Hitchin_system gptkb:quantum_field_theory gptkb:Hecke_eigensheaves gptkb:S-duality_conjecture gptkb:categorical_Langlands_correspondence gptkb:geometric_Satake_equivalence gptkb:global_geometric_Langlands_correspondence gptkb:Langlands_program gptkb:D-modules gptkb:Hitchin_fibration automorphic forms moduli spaces sheaf theory categorification non-abelian Hodge theory Tannakian categories local geometric Langlands correspondence moduli of local systems moduli stack of G-bundles perverse sheaves
gptkbp:yearProposed	1980s
gptkbp:bfsParent	gptkb:Langlands_program
gptkbp:bfsLayer	5