The course notes were prepared jointly by Prof. Pavel Etingof and Xiaoguang Ma.
Complete lecture notes (PDF - 2.4MB)
| CHAPTER # | TOPICS | LECTURE NOTES |
|---|---|---|
| 1 | Introduction | (PDF) |
| 2 | Classical and quantum Olshanetsky-Perelomov systems for finite Coxeter groups | (PDF) |
| 3 | The rational Cherednik algebra | (PDF) |
| 4 | The Macdonald-Mehta integral | (PDF) |
| 5 | Parabolic induction and restriction functors for rational Cherednik algebras | (PDF) |
| 6 | The Knizhnik-Zamolodchikov functor | (PDF) |
| 7 | Rational Cherednik algebras and Hecke algebras for varieties with group actions | (PDF) |
| 8 | Symplectic reflection algebras | (PDF) |
| 9 | Calogero-Moser spaces | (PDF) |
| 10 | Quantization of Calogero-Moser spaces | (PDF) |