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Number theory

The Deligne–Drinfeld conjecture

OpenAI research collection · 1 manuscript · Source checked 2026-10-19

OpenAI's result summary

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.

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MANUSCRIPT 01

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.

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