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algebra > representation theory > group representation > Langlands program
number > number theory > algebraic number theory > class field theory > Langlands program
number > number theory > analytic number theory > L-function > Langlands program
mathematical analysis > complex analysis > meromorphic function > L-function > Langlands program
... > topology > algebraic topology > manifold > differentiable manifold > Lie group > automorphic form > Langlands program
... > geometry > topological space > manifold > differentiable manifold > Lie group > automorphic form > Langlands program
... > geometry > differential geometry > differentiable manifold > Lie group > automorphic form > Langlands program
... > topology > differential topology > differentiable manifold > Lie group > automorphic form > Langlands program
... > algebra > group theory > topological group > Lie group > automorphic form > Langlands program
number > number theory > automorphic form > Langlands program
... > mathematical analysis > functional analysis > transformation > harmonic analysis > automorphic form > Langlands program

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Langlands program  

Definition

  • In representation theory and algebraic number theory, the Langlands program is a web of far-reaching and consequential conjectures about connections between number theory and geometry. Proposed by Robert Langlands (1967, 1970), it seeks to relate Galois groups in algebraic number theory to automorphic forms and representation theory of algebraic groups over local fields and adeles. Widely seen as the single biggest project in modern mathematical research, the Langlands program has been described by Edward Frenkel as "a kind of grand unified theory of mathematics."
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Langlands_program)

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http://data.loterre.fr/ark:/67375/PSR-TDFQNBKS-K

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