Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 014-05. The Restricted Geometric Langlands Equivalence in Positive Characteristic
Manuscript map · lines 2735–2744
OpenAI@2026-10-07#rem:oai-p-014-05
Authors: OpenAI. Family 014.
Title: The Restricted Geometric Langlands Equivalence in Positive Characteristic.
Abstract: 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 1.3.10]](https://arxiv.org/abs/2508.02237v1) in these regimes.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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