### Required Readings

In order to prepare for class, students are required to read selections from the course notes. These readings can be found on the lecture notes page.

WEEK # | TOPICS | READINGS |
---|---|---|

1 | Classical and quantum Olshanetsky-Perelomov systems for finite Coxeter groups | Chapter 2 |

2 | The rational Cherednik algebra I | Chapter 3, sections 3.1-3.13 |

3 |
The rational Cherednik algebra II Finite Coxeter groups and the Macdonald-Mehta integral |
Chapter 3, sections 3.14-3.17 Chapter 4, section 4.1 |

4 | The Macdonald-Mehta integral | Chapter 4, sections 4.2-4.4 |

5 | Parabolic induction and restriction functors for rational Cherednik algebras | Chapter 5 |

6 |
The Knizknik-Zamolodchikov functor Rational Cherednik algebras for varieties with group actions |
Chapter 6 Chapter 7, sections 7.1-7.5 |

7 | Hecke algebras for varieties with group actions | Chapter 7, sections 7.6-7.15 |

8 | Symplectic reflection algebras I | Chapter 8, sections 8.1-8.7 |

9 | Symplectic reflection algebras II | Chapter 8, sections 8.8-8.13 |

10 | Calogero-Moser spaces | Chapter 9 |

11 | Quantization of Calogero-Moser spaces | Chapter 10 |

### Supplemental Readings

Bezrukavnikov, R., and P. Etingof. “Parabolic Induction and Restriction Functors for Rational Cherednik Algebras.” *Selecta Math* 14, nos. 3-5 (2009): 397-425.

Etingof, P., and V. Ginzburg. “Symplectic Reflection Algebras, Calogero-Moser Space, and Deformed Harish-Chandra Homomorphism.” arXiv:math/0011114.

Rouquier, R. “Representations of Rational Cherednik Algebras.” arXiv:math/0504600.

Etingof, P. Lectures on Calogero-Moser Systems. arXiv:math/0606233.

———. “Cherednik and Hecke Algebras of Varieties With a Finite Group Action.” arXiv: math.QA/0406499.

———. “A Uniform Proof of the Macdonald-Mehta-Opdam Identity for Finite Coxeter Groups.” arXiv:0903.5084.

———. “Supports of Irreducible Spherical Representations of Rational Cherednik Algebras of Finite Coxeter Groups.” arXiv:0911.3208.