Global quantum geometric Langlands at irrational level
What the paper claims, in its own words
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.
The plain-language explainer for this entry is still coming.