mathematics, the Langlands program is a set of conjectures about connections between number theory and geometry. It was proposed by Robert Langlands (1967, 1970)...

Phelan Langlands, CC FRS FRSC (/ˈlæŋləndz/; born October 6, 1936) is a Canadian mathematician. He is best known as the founder of the Langlands program, a...

the geometric Langlands correspondence relates algebraic geometry and representation theory. It is a reformulation of the Langlands correspondence obtained...

equivalence between motivic and automorphic L-functions postulated in the Langlands program can be tested. Automorphic forms realized in the cohomology of a Shimura...

Montonen–Olive duality is closely related to a research program in mathematics called the geometric Langlands program. Another realization of S-duality in quantum...

[clarification needed] It was conjectured by Robert Langlands (1983) in the course of developing the Langlands program. The fundamental lemma was proved by Gérard...

major recent progress on the geometric Langlands program, including the final proof of the geometric Langlands conjecture in characteristic zero." 2021...

Frenkel introduced the analytic Langlands correspondence, a novel function-theoretic framework for the Langlands Program in the case of Riemann surfaces...

Mathematics (MPIM) at Bonn and is known for his research on the geometric Langlands program. Born in Chișinău (now in Moldova) he grew up in Tajikistan, before...

In mathematics, the Langlands group is a conjectural group LF attached to each local or global field F, that satisfies properties similar to those of...

Langlands dual Langlands group Langlands program Langlands, Queensland, a locality in the Western Downs Region, Queensland, Australia Langlands Park, a rugby...

should be fitted into one theory (examples include Hilbert's program and Langlands program). The unification of mathematical topics has been called mathematical...

Theorem, but pushed the whole of mathematics as a field towards the Langlands program of unifying number theory. Wiles was born on 11 April 1953 in Cambridge...

1952) is a French mathematician working in number theory and the Langlands program. Laumon studied at the École Normale Supérieure and Paris-Sud 11 University...

absent in the Langlands correspondence. There are several other nonabelian theories, local and global, which provide alternatives to the Langlands correspondence...

vast generalization of quadratic reciprocity. Robert Langlands formulated the Langlands program, which gives a conjectural vast generalization of class...

outstanding contributions to Langlands' program in the fields of number theory and analysis, and in particular proved the Langlands conjectures for the automorphism...

larger framework, such as is provided by automorphic forms and the Langlands program. So far, only a small part of such a theory has been put on a firm...

invariant theory and the Erlangen program, has an impact in number theory via automorphic forms and the Langlands program. There are many approaches to representation...

is a special case of more general conjectures due to Robert Langlands. The Langlands program seeks to attach an automorphic form or automorphic representation...

In mathematics, the theta correspondence or Howe correspondence is a mathematical relation between representations of two groups of a reductive dual pair...

mathematics, the local Langlands conjectures, introduced by Robert Langlands (1967, 1970), are part of the Langlands program. They describe a correspondence...

special case of Langlands functoriality, corresponding (roughly) to the diagonal embedding of the Langlands dual GLn(C) of GLn to the Langlands dual GLn(C)×...

have the same Langlands parameter, and so have the same L-function and ε-factors. L-packets were introduced by Robert Langlands in (Langlands 1989), (Labesse...

In number theory, the Shimura correspondence is a correspondence between modular forms F of half integral weight k+1/2, and modular forms f of even weight...

context of the Langlands program, especially the theory of theta correspondence, the Gan–Gross–Prasad conjecture and the Langlands program for Brylinski–Deligne...

and the IAS maintains the key repository for the papers of Langlands and the Langlands program. The IAS is a main center of research for homotopy type theory...

California, Berkeley working in number theory, automorphic forms, and the Langlands program. From 1994 to 1996 when he was in Seoul Science High School, Shin...

_{\mathrm {GP} }} be the "distinguished character" defined in terms of the Langlands–Deligne local constant, then furthermore Hom H ⁡ ( π ( φ , η ) ⊗ ν ¯ ...

primarily with geometric representation theory and in particular the Langlands program, tying number theory to algebraic geometry and quantum physics. Zhu...