---
date: 2022-05-15 00:00
modification date: Sunday 15th May 2022 00:00:12
title: "Bhatt-Lurie"
aliases: [Bhatt-Lurie, "p-adic Riemann-Hilbert correspondence"]
---

Last modified date: <%+ tp.file.last_modified_date() %>

---

- Tags: 
	- #todo/untagged
- Refs:
	- Talk: p-adic algebraic geometry: p-adic Riemann-Hilbert correspondence - Bhargav Bhatt <https://www.youtube.com/watch?v=oEebN8VCHEQ> #resources/talks 
	- Paper: <https://arxiv.org/abs/1711.04148> #resources/papers 
- Links:
	- [almost mathematics](Unsorted/almost%20mathematics.md)

---

# Bhatt-Lurie

Establishes a [Riemann-Hilbert correspondence](Unsorted/Riemann-Hilbert%20correspondence.md) in positive characteristic:

![](attachments/Pasted%20image%2020220515000346.png)
![](attachments/Pasted%20image%2020220515003113.png)

# Frobenius modules

![](attachments/Pasted%20image%2020220515000528.png)
![](attachments/Pasted%20image%2020220515000707.png)

# Etale sheaves

![](attachments/Pasted%20image%2020220515000559.png)