Langlands program

proper noun

A set of interconnected, far-reaching and consequential conjectures connecting number theory with geometry.

“p-adic Langlands program”

Meanings

proper noun

alternative Langlands programme

  1. mathematicsA set of interconnected, far-reaching and consequential conjectures connecting number theory with geometry.
    1 more example

    2021, Steve Gelbart, The Early Langlands Program — Personal Reflections, Julia Mueller, Freydoon Shahidi (editors), The Genesis of the Langlands Program, Cambridge University Press, London Mathematical Society Lecture Note Series 467, page 49, This kind of interaction is greatly appreciated, and when combined with his much larger Langlands Program, makes for a formidable force.

nounLanglands program (plural Langlands programs)

plural Langlands programs · alternative Langlands programme

  1. mathematicsAny of several similar sets of conjectures applicable to restricted domains of number theory and/or geometry.

    p-adic Langlands program

    1 more example

    modulo p Langlands program

Origin

Named after Canadian mathematician Robert Langlands, who proposed it in 1967 (privately) and publicly in 1970.

Full word history & related roots →
Cite this entry
APA

Langlands program. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/Langlands%20program

MLA

“Langlands program.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Langlands%20program. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “Langlands program,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/Langlands%20program.

Source: Langlands program on Wiktionary, CC BY-SA 4.0.