Family 069Algebraic and complex geometryNo LeanNot yet digested
Global 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 . It identifies the full derived categories of twisted D-modules for the group and its Langlands dual, retaining all global forms and connected components.
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Global quantum geometric Langlands at irrational level
Oct 4, 2026·quantum-langlands.pdf
We prove the unramified quantum geometric Langlands equivalence for every connected simple complex algebraic group G and every level , including non-real levels. For every smooth projective connected complex curve X, it identifies the full twisted D-module categories on and at the dual shifted levels c and , where r is the lacing number. The equivalence uses the given global forms and includes all connected components.