Langlands conjecture
Langlands conjecture noun: any of the conjectures that comprise the Langlands programme.
Noun
Langlands conjecture (plural Langlands conjectures)
- 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
| plural | Langlands conjectures |
|---|---|
| alternative form | Langlands' 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
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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Cite this entry: “Langlands conjecture.” Word.ws, https://word.ws/langlands_conjecture. Based on Wiktionary, CC BY-SA 4.0.
