Geometric Langlands program

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:logic research
gptkbp:appliesTo	algebraic curves reductive algebraic groups
gptkbp:field	gptkb:mathematics
gptkbp:focusesOn	categorification of Langlands correspondence moduli of G-bundles duality between local systems and automorphic sheaves
gptkbp:hasConnection	gptkb:quantum_field_theory gptkb:string_theory gptkb:S-duality
gptkbp:hasSubfield	gptkb:algebraic_geometry representation theory
https://www.w3.org/2000/01/rdf-schema#label	Geometric Langlands program
gptkbp:influencedBy	gptkb:Langlands_correspondence
gptkbp:notableContributor	gptkb:Edward_Witten gptkb:Edward_Frenkel gptkb:Vladimir_Drinfeld gptkb:Alexander_Beilinson gptkb:Dennis_Gaitsgory gptkb:Roman_Bezrukavnikov
gptkbp:notableEvent	gptkb:IAS_2004_workshop_on_Geometric_Langlands gptkb:Simons_Center_2016_program_on_Geometric_Langlands
gptkbp:notablePublication	gptkb:Frenkel's_book_'Langlands_Correspondence_for_Loop_Groups' Witten's work on gauge theory and geometric Langlands Beilinson-Drinfeld's work on chiral algebras
gptkbp:originatedIn	1980s
gptkbp:relatedTo	gptkb:algebraic_geometry gptkb:Langlands_program gptkb:category_theory gptkb:D-modules gptkb:mirror_symmetry gptkb:Hitchin_fibration number theory automorphic forms moduli spaces sheaf theory perverse sheaves
gptkbp:bfsParent	gptkb:Algebraic_geometry gptkb:Langlands_program
gptkbp:bfsLayer	5