Monumental Proof Settles Geometric Langlands Conjecture
A significant breakthrough in mathematics has been achieved with the proof of the geometric Langlands conjecture, a key aspect of the Langlands program. This proof, developed over 30 years by a team of nine mathematicians, spans over 800 pages and is seen as a monumental achievement in the field. The Langlands program connects various areas of mathematics, including number theory and geometry, through a complex web of analogies.
- ▪The geometric Langlands conjecture has been proved by a team of nine mathematicians after 30 years of effort.
- ▪The proof consists of over 800 pages spread across five papers.
- ▪The Langlands program, initiated by Robert Langlands in the 1960s, generalizes Fourier analysis and connects number theory, geometry, and function fields.
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| Original publisher | Quanta Magazine |
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| Publication time | Mon, 25 May 2026 09:26:57 +0000 |
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Home Monumental Proof Settles Geometric Langlands Conjecture Comment Save Article Read Later Share Facebook Copied! Copy link Email Pocket Reddit Ycombinator Comment Comments Save Article Read Later Read Later Langlands program Monumental Proof Settles Geometric Langlands Conjecture By Erica Klarreich July 19, 2024 In work that has been 30 years in the making, mathematicians have proved a major part of a profound mathematical vision called the Langlands program. Comment Save Article Read Later Nan Cao for Quanta Magazine Introduction By Erica Klarreich Contributing Correspondent July 19, 2024 View PDF/Print Mode geometry group theory harmonic analysis Langlands program mathematics number theory topology All topics A group of nine mathematicians has proved the geometric Langlands…
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