In mathematics, the Langlands program is a set of conjectures about connections between number theory, the theory of automorphic forms, and geometry....

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...

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

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

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

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

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

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...

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

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

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

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

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...

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...

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...

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...

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...

mathematician working in number theory and arithmetic aspects of the Langlands Program. He specialises in algebraic number theory. Gee was awarded the Whitehead...

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

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)×...

f\left({\begin{pmatrix}1&b\\0&1\end{pmatrix}}g\right)=\tau (b)f(g).} Jacquet & Langlands (1970) used Whittaker models to assign L-functions to admissible representations...

Imperial College London. He specialises in arithmetic geometry and the Langlands program. While attending the Royal Grammar School, High Wycombe he competed...

area of research in algebraic number theory is Iwasawa theory. The Langlands program, one of the main current large-scale research plans in mathematics...

He is closely connected to the Langlands program and has been involved in posting all of the work of Robert Langlands on the internet. Casselman did his...

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

\varepsilon (\pi \otimes \chi ,1/2)} is the Langlands ε {\displaystyle \varepsilon } -constant [ (Langlands 1970); (Deligne 1972) ] associated to π {\displaystyle...