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Quantum geometric Langlands correspondence in positive characteristic: The GLN case

Quantum geometric Langlands correspondence in positive characteristic: The GLN case

We prove a version of quantum geometric Langlands conjecture in characteristic $p$. Namely, we construct an equivalence of certain localizations of derived categories of twisted crystalline $\mathcal D$-modules on the stack of rank $N$ vector bundles on an algebraic curve $C$ in characteristic $p$. The twisting parameters are related in …