---
date: 2021-10-27 19:35
modification date: Sunday 23rd January 2022 00:49:26
title: Condensed Mathematics
aliases: [condensed math, condensed set]
---

---
- Tags: 
	- #arithmetic-geometry/p-adic-hodge-theory #arithmetic-geometry/prisms #arithmetic-geometry/perfectoid 
- Refs:
	- [Weight Monodromy Conjecture Notes](attachments/2014.02.18.0230.Caraiani.pdf) #resources 
	- [attachments/2102.13459.pdf](attachments/2102.13459.pdf)
	- [attachments/Arbeitsgemeinschaft2016GL.pdf](attachments/Arbeitsgemeinschaft2016GL.pdf)
	- [attachments/Scholze_-_2012_-_Perfectoid_Spaces.pdf](attachments/Scholze_-_2012_-_Perfectoid_Spaces.pdf)
	- [Kedlaya's Notes](https://www.math.arizona.edu/~swc/aws/2007/KedlayaNotes11Mar.pdf)
	- [Masterclass - Stable Homotopy Theory and p-adic Hodge Theory](https://www.math.ku.dk/english/research/conferences/2017/stable-homotopy/)
	- [Equivariant Stable Homotopy Theory and p-adic Hodge Theory](https://www.birs.ca/events/2020/5-day-workshops/20w5217/videos)
	- MCM sessions:
		- [MCM Session 1&2 (Peter's Notes)](https://www.math.ku.dk/english/research-files/conference-papers/Copenhagen_Notes_1.pdf)
		- [MCM Session 3&4 (Dustin's Notes)](https://www.math.ku.dk/english/research-files/conference-papers/MCM_Notes_session_2.pdf)
		- [MCM Session 3 (Lars' Notes)](https://www.math.ku.dk/english/research-files/conference-papers/MCM_Notes_session_3.pdf)
		- [MCM Session 5&6 (Peter's Notes)](https://www.math.ku.dk/english/research-files/conference-papers/CopenhagenP-Tuesday.pdf)
		- [MCM Session 7&8 (Dustin's Notes)](https://www.math.ku.dk/english/research-files/conference-papers/CopenhagenD-Tuesday.pdf)
		- [MCM Session 9&10 (Peter's Notes)](https://www.math.ku.dk/english/research-files/conference-papers/CopenhagenP-Wednesday.pdf)
		- [MCM Session 11&12 (Dustin's Notes)](https://www.math.ku.dk/english/research-files/conference-papers/CopenhagenD-Wednesday.pdf)
		- [MCM Session 13&14 (Dustin's Notes)](https://www.math.ku.dk/english/research-files/conference-papers/CopenhagenD-Thursday.pdf)
		- [MCM Session 15&16 (Peter's Notes)](https://www.math.ku.dk/english/research-files/conference-papers/CopenhagenP-Thursday.pdf)
		- [MCM Session 17&18 (Peter's Notes)](https://www.math.ku.dk/english/research-files/conference-papers/CopenhagenP-Friday.pdf)
		- [MCM Session 19&20 (Dustin's Notes)](https://www.math.ku.dk/english/research-files/conference-papers/CopenhagenD-Friday.pdf)
		- [MCM Session 19&20 (Lars' Notes)](https://www.math.ku.dk/english/research-files/conference-papers/CopenhagenL-Friday-new.pdf)
- Links:
	- [DAG](Unsorted/derived%20algebraic%20geometry.md)
	- [Stone-Cech compactification](Stone-Cech%20compactification.md)
	- [Kan extension](Unsorted/Kan%20extension.md)
	- [abelian category](Unsorted/abelian%20category.md)
---

# Condensed Mathematics

Issues with topological abelian groups:

![](attachments/Pasted%20image%2020220319185901.png)
![](attachments/Pasted%20image%2020220319185958.png)

See [six functor formalism](Unsorted/six%20functor%20formalism.md).

![](attachments/Pasted%20image%2020220319190514.png)

Properties of condensed sets:

![](attachments/Pasted%20image%2020220319192042.png)
![](attachments/Pasted%20image%2020220319192136.png)
## Masterclass in Condensed Mathematics

#resources/videos 

<iframe width="560" height="315" src="https://www.youtube.com/embed/PHm4bYziyug" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture" allowfullscreen></iframe>

Lecture status: #projects/active #projects/notes 

- [ ] Lecture 1
- [ ] Lecture 2
- [ ] Lecture 3
- [ ] Lecture 4
- [ ] Lecture 5
- [ ] Lecture 6
- [ ] Lecture 7
- [ ] Lecture 8
- [ ] Lecture 9
- [ ] Lecture 10
- [ ] Lecture 11
- [ ] Lecture 12
- [ ] Lecture 13
- [ ] Lecture 14
- [ ] Lecture 15
- [ ] Lecture 16
- [ ] Lecture 17
- [ ] Lecture 18
- [ ] Lecture 19
- [ ] Lecture 20
- [ ] Lecture 21
- [ ] Lecture 22
- [ ] Lecture 23
- [ ] Lecture 24
- [ ] Lecture 25
- [ ] Lecture 26
- [ ] Lecture 27
- [ ] Lecture 28
- [ ] Lecture 29
- [ ] Lecture 30