---
date: 2021-04-02
tags: [ web/quick-notes ]
---


# 2021-04-02

## 22:38

- Some big conjectures in AG/NT:
  - The [Ash Conjecture](Ash%20Conjecture) :
    [Galois representations](Galois%20representations.md) coming from torsion cohomology classes of locally [symmetric spaces](symmetric%20spaces).
  - Deligne's [weight monodromy conjecture](weight%20monodromy%20conjecture) :
    Something to do with [complete intersections](complete%20intersections).
- What's the deal with [prismatic cohomology](prismatic%20cohomology.md)?
  - Something coming from Bhatt: an integral version of [p-adic Hodge theory](p-adic%20Hodge%20theory.md) which is supposed to link a bunch of other cohomology theories.