The Restricted Geometric Langlands Equivalence in Positive Characteristic
We prove the $\overline{\mathbb Q}_\ell$-linear restricted geometric Langlands equivalence for smooth projective connected curves and connected reductive groups in characteristic p > 0, with ℓ ≠ p , in two regimes. Over $\overline{\mathbb F}_q$, we assume the four characteristic conditions of the restricted theory stated below. Over arbitrary algebraically closed fields, we assume these conditions and additionally that p is very good and does not divide the Weyl-group order. This proves Gaitsgory–Raskin's full-support conjecture [[12, Conjecture…
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