KnowraLanglands programLinked fromLinked fromThe 8 pages that link to Langlands program, each with the reason it gives.All 8Related 4Narrower topic 4Algebraic number theoryNarrower topic: It extends number-field reciprocity into a proposed framework for nonabelian arithmetic.Class field theoryNarrower topic: Its abelian reciprocity statements generalize class field theory to broader representation-theoretic settings.Emil ArtinRelated: Artin L-functions and reciprocity provide important precedents for its arithmetic correspondences.Generalized Riemann hypothesisNarrower topic: Its predicted L-functions raise questions about the natural ultimate scope of generalized hypotheses.Weil conjecturesRelated: The Weil conjectures helped establish cohomological methods later used in related arithmetic correspondences.Arithmetic geometryRelated: Its correspondences connect arithmetic varieties with representations and automorphic forms.Chebotarev density theoremRelated: Chebotarev links Frobenius data to Galois representations, a central ingredient in these correspondences.Ngô Bảo ChâuNarrower topic: The fundamental lemma supplies a key comparison needed by many parts of this program.