condensed-analytic-stacks
Scholze-Clausen condensed mathematics bridge to sheaf neural networks via 6-functor formalism
npx skills add majiayu000/claude-skill-registry --skill condensed-analytic-stacks --agent claude-code
Same command for any agent — swap --agent for codex, cursor, copilot.
Weekly change comes from our own snapshots, not the repository page — it measures attention, not adoption.
# 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 | [PDF](https://www.math.uni-bonn.de/people/scholze/Condensed.pdf) | Foundation: condensed sets, solid/liquid modules | | Condensed Mathematics and Complex Geometry | Clausen, Scholze | [PDF](https://people.mpim-bonn.mpg.de/scholze/Complex.pdf) | Nuclear modules, GAGA | | Pyknotic Objects, I. Basic notions | Barwick, Haine | [1904.09966](https://arxiv.org/abs/1904.09966) | Hypersheaves on compacta | | Categorical Künneth formulas for analytic stacks | Kesting | [2507.08566](https://arxiv.org/abs/2507.08566) | 6-functor Künneth, Tannakian reconstruction | | Infinitary combinatorics in condensed math | Bergfalk, Lambie-Hanson | [2412.19605](https://arxiv.org/abs/2412.19605) | Higher derived limits, pyknotic connections | ## Architecture: Condensed → She
- Overview
- Key Papers & Sources
- Architecture: Condensed → Sheaf NN Bridge
- Core Concepts
- 1. Condensed Sets (Cond)
- 2. Liquid Vector Spaces
- 3. 6-Functor Formalism (Categorical Künneth)
- 4. Analytic Stack ↔ Sheaf NN Connection
- 5. Pyknotic vs Condensed
- Integration with Existing Skills
- sheaf-laplacian-coordination
- async-sheaf-diffusion
- acsets-algebraic-databases
- Provenance Integration
just world-condensed # Run condensed anima world just condensed-test # Test liquid/solid modules just kunneth-verify # Verify Künneth for example stacks just sheaf-bridge-demo # Demo condensed→sheaf NN bridge
What does the condensed-analytic-stacks skill do?
Scholze-Clausen condensed mathematics bridge to sheaf neural networks via 6-functor formalism
How do I install it?
Run `npx skills add majiayu000/claude-skill-registry --skill condensed-analytic-stacks --agent claude-code` — it drops the skill into your project so the agent can pick it up. Swap the --agent value for codex, cursor or copilot if you use one of those.
Where does this skill come from?
From majiayu000/claude-skill-registry, a repository with 534 stars. We read it straight from the repository tree rather than a submitted listing, so what you see here is what is actually published.
Is a popular skill a good skill?
Not necessarily. Stars measure attention, not adoption — a repository can trend for a week and be abandoned. That is why we show the weekly change from our own snapshots next to the total, instead of a single flattering number.