---
date: 2022-04-06 21:23
modification date: Wednesday 6th April 2022 21:23:33
title: "homological stability"
aliases: [homological stability]
---

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

---
- Tags: 
	- #todo/untagged
- Refs:
	- <http://web.math.ku.dk/~wahl/ICM22.pdf#page=8>
- Links:
	- [Homological Stability](Unsorted/Homological%20Stability%20Course%20Notes.md)
	- [configuration space](Unsorted/configuration%20space.md)

---

# homological stability

![](attachments/Pasted%20image%2020220406212335.png)
![](attachments/Pasted%20image%2020220406212629.png)
![](attachments/Pasted%20image%2020220406212647.png)


# In arithmetic

Relation to [Weil Conjectures](Unsorted/Weil%20Conjectures.md):

![](attachments/Pasted%20image%2020220406212842.png)
![](attachments/Pasted%20image%2020220406212911.png)

![](attachments/Pasted%20image%2020220406213237.png)

Applications to [moduli of curves](Unsorted/moduli%20stack%20of%20elliptic%20curves.md):
![](attachments/Pasted%20image%2020220406213352.png)

Relation to [Hardy-Littlewood method](Hardy-Littlewood%20method)
![](attachments/Pasted%20image%2020220406213435.png)