Remark: Family 069. Quantum geometric Langlands at irrational level

Proves the unramified de Rham quantum geometric Langlands equivalence for every connected simple complex algebraic group on every smooth projective connected complex curve, at every shifted level $c\in \mathbb{C}\setminus \mathbb{Q}$. It identifies the full derived categories of twisted $D$-modules for the group and its Langlands dual, retaining all global forms and connected components.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.