{"id":"openai-math/The-Deligne-Drinfeld-conjecture","pdf":"https://github.com/openai/math/blob/main/preprints/The-Deligne-Drinfeld-conjecture-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/The-Deligne-Drinfeld-conjecture-September-23-2026","tags":["grothendieck-teichmuller","deformation-theory","number-theory"],"score":0,"title":"The Deligne-Drinfeld conjecture","domain":"Number theory","family":"008","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.NT","summary":"We prove the Deligne–Drinfeld conjecture: the rational Grothendieck–Teichmüller Lie algebra is freely generated by one element in every odd weight at least three, with the corresponding isomorphism after weight completion.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":2,"published":"2026-09-23","reactions":{},"discussion":[{"url":"https://arxiv.org/abs/2610.15592","date":"2026-10-11","kind":"web","site":"arXiv.org","text":"We provide a simplified and more human-friendly version of the proof of the Deligne--Drinfeld conjecture recently given by OpenAI.","added":"2026-10-24","title":"The Deligne--Drinfeld conjecture after OpenAI","author":"Thomas Willwacher","record":"arxiv/2610.15592"},{"url":"https://arxiv.org/abs/2610.23719","date":"2026-10-16","kind":"web","site":"arXiv.org","text":"We express every admissible word as a $\\mathbb{Z}_{(2)}$-linear combination of Hoffman words and explicit confluence relations. This implies that every multiple zeta value is a linear combination of elements of the Hoffman basis with coefficients having odd denominators, as conjectured by Hirose…","added":"2026-10-24","title":"Confluence relations, Hoffman basis over \\mathbb{Z}_{(2)}, and the Deligne--Drinfeld conjecture","author":"Minoru Hirose","record":"arxiv/2610.23719"}],"formalized":true,"family_title":"The Deligne–Drinfeld conjecture"}