| # The Deligne–Drinfeld conjecture | |
| The following describes the scope of the Lean formalization related to the following accompanying paper(s): | |
| - [The Deligne-Drinfeld conjecture](../../preprints/The-Deligne-Drinfeld-conjecture-September-23-2026/paper.pdf) | |
| ## Scope | |
| The Deligne–Drinfeld conjecture predicts that the rational Grothendieck–Teichmüller Lie algebra is freely generated by one element in each odd weight $3,5,7,\ldots$. The formalization establishes this for the rational solution space of antisymmetry, the three-term equation, and the four-strand pentagon with the Ihara bracket. It also gives the corresponding continuous isomorphism after completion by weight. | |
| The regularized-transport proposition and graph-complex consequences are not included. | |
| ## Comparator links | |
| | Result | Comparator statement | | |
| | --- | --- | | |
| | Deligne–Drinfeld main statement | [DeligneDrinfeld.lean](../ComparatorChallenges/DeligneDrinfeld.lean) | | |