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arXiv · 2210.14872

Drinfeld's lemma for $F$-isocrystals, II: Tannakian approach

Kiran S. Kedlaya·Daxin Xu
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Abstract

We prove a Tannakian form of Drinfeld's lemma for isocrystals on a variety over a finite field, equipped with actions of partial Frobenius operators. This provides an intermediate step towards transferring V. Lafforgue's work on the Langlands correspondence over function fields from $\ell$-adic to $p$-adic coefficients. We also discuss a motivic variant and a local variant of Drinfeld's lemma.

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Kiran S. Kedlaya, Daxin Xu. 2022-10-26. Drinfeld's lemma for $F$-isocrystals, II: Tannakian approach. https://arxiv.org/abs/2210.14872

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