nLab categorical geometric Langlands conjecture

The categorical geometric Langlands conjecture is a categorical version of the geometric Langlands conjecture. It is formulated as an equivalence of stable (infinity,1)-categories of

and

where $X$ is a smooth complete curve over a field of characteristic zero, and $G$ is a reductive group and $G^\vee$ is its Langlands dual?.

References

• D. Gaitsgory et. al., Geometric representation theory, graduate seminar, Fall 2009–Spring 2010, web.

• MO/56571, A precise statement of the categorical version of geometric Langlands conjecture.

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