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Research / Oct 6, 2026

The Deligne-Drinfeld conjecture

Can the mathematical statement in The Deligne-Drinfeld conjecture be proved and verified machine-checked in Lean?

Model / AI: OpenAI (unreleased)

machine-checked (formal proof)self-reported (formal proof)
Oct 6, 2026

Lean formalization in OpenAI math repository (Result 008)

Model / AI: OpenAI (unreleased)

machine-checked (formal proof)self-reported (formal proof)

OpenAI's internal frontier model proved and formalized in Lean the main result of 'The Deligne-Drinfeld conjecture'. 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.

Source read 2026-10-08. Cataloged from OpenAI's formalization.yaml (Family 008). The Lean development was not rebuilt locally.