---
date: 2022-05-29 01:45
modification date: Sunday 29th May 2022 01:45:32
title: "the category of motives"
aliases: [the category of motives, SH, DM]
---

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

---

- Tags: 
	- #todo/untagged
- Refs:
	- #todo/add-references
- Links:
	- [six functor formalism](Unsorted/six%20functor%20formalism.md)
	- [[absolute purity]]
	- [Nisnevich topology](Unsorted/Nisnevich%20topology.md)
	- [compactly generated](Unsorted/compact%20object%20of%20a%20category.md)
	- [presentable](Unsorted/presentable%20category.md)
	- [symmetric monoidal category](Unsorted/monoidal%20category.md)
	- [stable infty category](Unsorted/stable%20infinity%20category.md)
	- [Tate motive](Unsorted/Lefschetz%20motive.md)
	- [Tate twist](Unsorted/l-adic%20cohomology.md)
	- [motivic cohomology](Unsorted/motivic%20cohomology.md)

---

# the category of motives

![](attachments/Pasted%20image%2020220529014533.png)

![](attachments/Pasted%20image%2020220529014925.png)
![](attachments/Pasted%20image%2020220529021210.png)