Geometric Invariant Theory & Equiangular Tight Frames (ETF) : 2025 Reading Course

A collaborative reading course exploring the mathematical foundations of Geometric Invariant Theory (GIT) and Equiangular Tight Frames. This repository contains weekly summaries, lecture notes, and discussion materials.

📍 Public Website: https://ayanava314.github.io/GIT-ETF/

About This Course

This reading course covers:

• Geometric Invariant Theory: (following Dolgachev’s Lectures on Invariant Theory)
• Equiangular Tight Frames: Applications of GIT to Finite Equiangular Tight Frames
• To be added later…

📁 Repository Structure

├── README.md                  # This file
├── index.md                   # Course homepage
├── references.md              # Course references
├── week01.md, week02.md, ...  # Weekly summaries (Jekyll markdown)
├── _config.yml                # Jekyll site configuration
├── _layouts/
│   └── default.html           # Custom site theme
├── _includes/
│   └── head.html              # MathJax CDN configuration
├── references/                # Reference materials and readings
└── notes/
    ├── main.tex               # Master LaTeX document
    ├── week01.tex, ...        # Weekly detailed notes
    ├── xx.aux,xx.bib,...      # Auxiliary files
    └── main.pdf               # Compiled notes

🚀 Quick Start

View the Course Online

Visit the published website to browse weekly summaries and download full notes.

Contribute or Modify Content

Sign in to GitHub to modify content/make suggestions/comment on pages. Will post a simple clone to push walkthrough later if needed.

📚 Using These Materials

Weekly Format

Each week includes:

• Summary page (weekNN.md): Key concepts, readings, and learning objectives
• Detailed notes (notes/weekNNtex): Formal definitions, theorems, proofs
• Discussion thread: Use GitHub Issues/Discussions tab to ask questions

Labels for Issues/Discussions

• question: Mathematical questions or clarifications
• typo: Errors in notes or summaries
• discussion: General discussion or alternative approaches
• reading: Recommendations for additional resources

📖 Recommended Readings

• Dolgachev: Lectures on Invariant Theory (primary reference)
• Mumford, Fogarty, Kirwan: Geometric Invariant Theory (classical reference)
• Waldron: An Introduction to Finite Tight Frames (comprehensive ETF treatment)
• Equiangular Tight Frames research papers (linked in weekly content)

📝 Contributing

Found an error? Have a suggestion?

1. Open an Issue for bugs/typos
2. Start a Discussion for questions or topics
3. Submit a Pull Request for content additions

Please include context (week number, section) and be specific about proposed changes.

📄 License(things are getting serious now)

These materials are shared for educational purposes within the reading course community.

Course Organizer: Prof. Gene Kopp and Ayan Year: 2026-\(\infty\) Questions? Use the Issues/Discussions tab or email the organizer.