Langlands program

English

Alternative forms

• Langlands programme

Etymology

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

Proper noun

Langlands program

1. (mathematics) A set of interconnected, far-reaching and consequential conjectures connecting number theory with geometry.
   • 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.

Translations

Langlands programme — see Langlands programme

Noun

Langlands program (plural Langlands programs)

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

   p-adic Langlands program

   modulo p Langlands program