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Langlands conjecture

Langlands conjecture noun: any of the conjectures that comprise the Langlands programme.

Noun

Langlands conjecture (plural Langlands conjectures)

  1. Any of the conjectures that comprise the Langlands programme.
    • It^([the Langlands functoriality conjecture]) is closely related to the local Langlands conjectures, which amount to a (conjectural) classification of the representations of reductive groups over local fields.1998, Daniel Bump, Automorphic Forms and Representations, Cambridge University Press, page 90
    • This abelian case of the Geometric Langlands Conjecture amounts to the well known result that any rank of one local system (or: line bundle with flat connection) on the curve C extends uniquely to J, and this extension is natural with respect to the Abel-Jacobi map.2009, Huai-Dong Cao, Shing-Tung Yau, editors, Surveys in Differential Geometry, International Press, page 86

Forms of Langlands conjecture

pluralLanglands conjectures
alternative formLanglands' conjecture

Origin of Langlands conjecture

Named after Canadian mathematician Robert Langlands; interpretable as a reference to the Langlands programme.

Questions about Langlands conjecture

What does Langlands conjecture mean?
Langlands conjecture means any of the conjectures that comprise the Langlands programme.
What part of speech is Langlands conjecture?
Langlands conjecture is a noun.
What is the plural of Langlands conjecture?
The plural of Langlands conjecture is Langlands conjectures.

Words near Langlands conjecture in the dictionary

  1. Langkoop
  2. Langlade
  3. Langlade County
  4. Langland
  5. Langlands
  6. Langlands conjecture
  7. Langlands conjectures
  8. Langlands program
  9. Langlands programme
  10. langlauf
  11. langlaufed

Source and license

Adapted from Wiktionary: Langlands conjecture (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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