The Deligne–Drinfeld conjecture
The following describes the scope of the Lean formalization related to the following accompanying paper(s):
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 |