The Deligne-Drinfeld conjecture
Source: github.com/openai/math/tree/main/preprints/The-Deligne-Drin…
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.
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— Bjørn Kjos-Hanssen (@kjoshanssen) Oct 11, 2026
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…
— Christian Haesemeyer (@CHaesemeyer) Oct 20, 2026
— Minoru Hirose (@hirose_minoru) Oct 21, 2026
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The Deligne--Drinfeld conjecture after OpenAIarXiv.orgThomas WillwacherOct 11, 2026in the index
We provide a simplified and more human-friendly version of the proof of the Deligne--Drinfeld conjecture recently given by OpenAI.