Shimura Varieties Seminar

The seminar had recorded meetings on zoom. They are available upon request.

General references

Milne's notes (see also the errata), Caraiani's notes, Kai-Wen Lan's notes, Sean Howe's topic, Travaux de Shimura, Shimura varieties: modular interpretation and construction techniques for canonical models,

Week 1: Gal Porat

Variations of Hodge structures

  • Exercises
  • References: 1. Milne's notes, pages 23-31. 2. Caraiani's notes, pages 13-17.
  • Week 2: Faidon Andriopoulos

    Locally Symmetric Spaces and Locally Symmetric Varieties

  • Exercises
  • References: Locally Symmetric Spaces - 1. Caraiani's notes, pages 6-8. 2. Notes of Alex Youcis, section 1.2. Locally Symmetric Varieties - 1. Milne's notes, pages 32-41. 2. Notes of Matt Kerr, chapter 2.

    Week 3: Iason Kountouridis

    Shimura datum

  • Exercises
  • References: 1. Caraiani's notes, 2.4.7-2.4.10. 2. Milne's notes, pages 44-47 and 54-56.
  • Notes
  • Week 4: Chengyang Bao

    Siegel Varieties

  • Exercises
  • References: 1. Milne's notes, Chapter 6. 2. Kai-Wen Lan's notes, section 3.1.

    Week 5: Yulia Kotelnikova

    PEL Shimura Varieties

  • Exercises
  • References: 1. Milne's notes, 76-83.

    Week 6: Billy Lee

    Shimura Reciprocity Law

  • Exercises
  • References: 1. Deligne 1979, 2.2-2.4. 2. Milne's notes, 10-12. 3. Rotgers's notes.

    Week 7: Iason Kountouridis and Gal Porat

    Canonical Models and Summary

  • Exercises
  • References: 1. Milne's notes, 12-14. 2. Notes by Michael Harris