---
date: 2022-03-18 20:24
modification date: Friday 18th March 2022 20:27:45
title: Hodge-Tate conjecture
aliases: [Hodge-Tate decomposition]

---


---

- Tags 
	- #arithmetic-geometry/p-adic-hodge-theory 
- Refs:
	- #todo/add-references
- Links:
	- [p-adic Hodge theory](Unsorted/p-adic%20Hodge%20theory.md)

---

# Hodge-Tate conjecture
![](attachments/Pasted%20image%2020220318202451.png)

# The decomposition

![](attachments/Pasted%20image%2020220502150513.png)

The motivation for [period rings](period%20rings):
![](attachments/Pasted%20image%2020220502150650.png)