The mod-p Riemann–Hilbert correspondence and the perfect site

The mod- $p$ Riemann–Hilbert correspondence (in covariant and contravariant forms) relates $𝔽_{p}$ -étale sheaves on the spectrum of an $𝔽_{p}$ -algebra $R$ and Frobenius modules over $R$ . We give an exposition of these correspondences using Breen’s vanishing results on the perfect site.

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Keywords

perfect site, mod p Riemann–Hilbert correspondence, étale sheaves

Mathematical Subject Classification

Primary: 14F08, 14F10, 14F20, 14F30

Milestones

Received: 22 June 2022

Revised: 23 October 2022

Accepted: 12 November 2022

Published: 4 June 2023

Authors

Akhil Mathew
Department of Mathematics University of Chicago IL United States

Vol. 5, No. 2, 2023

Akhil Mathew

Abstract

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Keywords

Mathematical Subject Classification

Milestones

Authors