Phrase guide

Langlands program

name · noun · 2 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

name

Meaning 1

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

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

Examples

  • 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.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

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

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

Examples

  • p-adic Langlands program
  • modulo p Langlands program

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

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