condensed-analytic-stacks
Installation
SKILL.md
condensed-analytic-stacks Skill
Overview
Saturates the intersection of Scholze-Clausen condensed mathematics, analytic stacks, and sheaf neural networks. Bridges pyknotic/condensed objects to computational learning systems via 6-functor formalisms.
Key Papers & Sources
| Paper | Authors | arXiv | Key Contribution |
|---|---|---|---|
| Lectures on Condensed Mathematics | Scholze, Clausen | Foundation: condensed sets, solid/liquid modules | |
| Condensed Mathematics and Complex Geometry | Clausen, Scholze | Nuclear modules, GAGA | |
| Pyknotic Objects, I. Basic notions | Barwick, Haine | 1904.09966 | Hypersheaves on compacta |
| Categorical Künneth formulas for analytic stacks | Kesting | 2507.08566 | 6-functor Künneth, Tannakian reconstruction |
| Infinitary combinatorics in condensed math | Bergfalk, Lambie-Hanson | 2412.19605 | Higher derived limits, pyknotic connections |