Langlands conjectures

References

Langlands conjectures

number theory

Also known as: Langlands Program

Written by

The Information Architects of Encyclopaedia Britannica

Last updated

July 16, 2026

Quick Summary

The Langlands conjectures, also known as the Langlands Program, propose a profound connection between number theory and algebraic geometry. This

Summary created from Britannica articles using AI. AI can make mistakes, so verify using Britannica articles.

2 Britannica Sources

Ask Britannica AI about this topic

Britannica doesn't have a full article on this topic, so we've curated a list of our relevant coverage.

Laurent Lafforgue
The Langlands conjectures, or Langlands Program, grew out of a 1967 letter that Robert Langlands wrote to André Weil, who was widely regarded as the leading number theorist of his generation. Langlands suggested a far-reaching generalization of what was already known concerning a deep connection between…
Read More
The Langlands conjectures, or Langlands Program, grew out of a 1967 letter that Robert Langlands wrote to André Weil, who was widely regarded as the leading number theorist of his generation. Langlands suggested a far-reaching generalization of what was already known concerning a deep connection between…
Read More

Ngo Bao Chau
…the Fundamental Lemma of the Langlands program. The Langlands program grew out of a 1967 letter that Canadian American mathematician Robert Langlands wrote to French mathematician André Weil, who was widely regarded as the leading number theorist of his generation. Langlands suggested a far-reaching generalization of what was already known…
Read More
…the Fundamental Lemma of the Langlands program. The Langlands program grew out of a 1967 letter that Canadian American mathematician Robert Langlands wrote to French mathematician André Weil, who was widely regarded as the leading number theorist of his generation. Langlands suggested a far-reaching generalization of what was already known…
Read More