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In mathematics, the local Langlands conjectures, introduced by Robert Langlands , are part of the Langlands program. They describe a correspondence between the complex representations of a reductive algebraic group G over a local field F, and representations of the Langlands group of F into the L-group of G. This correspondence is not a bijection in general. The conjectures can be thought of as a generalization of local class field theory from abelian Galois groups to non-abelian Galois groups.

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  • In mathematics, the local Langlands conjectures, introduced by Robert Langlands , are part of the Langlands program. They describe a correspondence between the complex representations of a reductive algebraic group G over a local field F, and representations of the Langlands group of F into the L-group of G. This correspondence is not a bijection in general. The conjectures can be thought of as a generalization of local class field theory from abelian Galois groups to non-abelian Galois groups. (en)
  • Inom matematiken är lokala Langlandsförmodandena, introducerade av Langlands , en del av Langlands program. De beskriver en korrespondens mellan komplexa representationer av en reduktiv G över en F och representationer av av F till L-gruppen av G. Denna korrespondens är i allmänhet inte bijektiv. Förmodandena kan ses som en generalisering av från abelska Galoisgrupper till icke-abelska Galoisgrupper. (sv)
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  • Robert Langlands (en)
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  • Robert (en)
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  • Langlands (en)
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  • 1967 (xsd:integer)
  • 1970 (xsd:integer)
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  • In mathematics, the local Langlands conjectures, introduced by Robert Langlands , are part of the Langlands program. They describe a correspondence between the complex representations of a reductive algebraic group G over a local field F, and representations of the Langlands group of F into the L-group of G. This correspondence is not a bijection in general. The conjectures can be thought of as a generalization of local class field theory from abelian Galois groups to non-abelian Galois groups. (en)
  • Inom matematiken är lokala Langlandsförmodandena, introducerade av Langlands , en del av Langlands program. De beskriver en korrespondens mellan komplexa representationer av en reduktiv G över en F och representationer av av F till L-gruppen av G. Denna korrespondens är i allmänhet inte bijektiv. Förmodandena kan ses som en generalisering av från abelska Galoisgrupper till icke-abelska Galoisgrupper. (sv)
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  • Local Langlands conjectures (en)
  • Lokala Langlandsförmodandena (sv)
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