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

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

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...

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

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

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

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

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

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...

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...

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...

historical and recent, include Felix Klein's Erlangen program, Hilbert's problems, Langlands program, and the Millennium Prize Problems. In the Mathematics...

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

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

Bonn. Her research interests include algebraic number theory and the Langlands program. She was born in Bucharest and studied at Mihai Viteazul High School...

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

algebraic groups over the p-adic numbers, with connections to the Langlands program. She is a professor at the University of Bonn. Fintzen competed for...

groups and representations of Galois groups. The Langlands conjectures were introduced by Langlands (1967, 1970) and describe a correspondence between...

mathematician who is active in algebraic geometry, especially in the Langlands program, and a CNRS "Directeur de Recherches" at the Institute Fourier in...

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...

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...

2023 Ana Caraiani – "For diverse transformative contributions to the Langlands program, and in particular for work with Peter Scholze on the Hodge-Tate period...

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...

He works in algebraic number theory and arithmetic aspects of the Langlands program. Skinner was born on June 4, 1972 in Little Rock, Arkansas. Skinner...

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