For every connected simple complex algebraic group G, smooth projective connected complex curve X, and complex level c outside Q, the full twisted D-module categories on Bun_G(X) and Bun_G-dual(X) are equivalent at dual shifted levels c and -1/(r c), retaining the given global forms and all connected components.
For every connected simple complex algebraic group G, smooth projective connected complex curve X, and complex level c outside Q, the full twisted D-module categories on Bun_G(X) and Bun_G-dual(X) are equivalent at dual shifted levels c and -1/(r c), retaining the given global forms and all connected components.
For every connected simple complex algebraic group G, smooth projective connected complex curve X, and complex level c outside Q, the full twisted D-module categories on Bun_G(X) and Bun_G-dual(X) are equivalent at dual shifted levels c and -1/(r c), retaining the given global forms and all connected components.
If correct, proves the unramified quantum geometric Langlands equivalence at every irrational complex level for simple groups.
Are the full bundle-stack D-module categories equivalent at reciprocal irrational quantum Langlands levels?
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OpenAI reports global quantum geometric Langlands at irrational level
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