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) |