Number theory·OpenAI Math·Result 008·Lean formalisation listed

The Deligne–Drinfeld conjecture

One of the 372 results in OpenAI's public mathematics catalogue, filed under number theory: 1 preprint, the latest dated 23 September 2026. This page quotes OpenAI's own summary of the claim, links the paper and abstract, and will embed the animation.

Animation scheduled

Deligne–Drinfeld Conjecture: One Generator per Odd Weight

Goes public 13 October 2026, 10:00 UTC

The Short is uploaded and will appear here once it is public. Its YouTube link works from then.

What OpenAI claims

Proves that the rational Grothendieck–Teichmüller Lie algebra, with the Ihara bracket, is freely generated by one element in each odd weight 3, 5, 7, …, resolving the Deligne–Drinfeld conjecture. (Lean)

Paper

  1. The Deligne-Drinfeld conjecture

    · Preprint, not peer reviewed · PDF

    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.

Status

Preprint. The paper has not been independently reviewed. Treat the result as OpenAI's claim until other mathematicians have checked it. If a video exists, it illustrates the statement; it is not the proof.

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