# Special student seminar summer 2021/2022

### Special lectures by Arun Ram on** ***Reflection groups and the KZ functor*

*Reflection groups and the KZ functor*

Lecture 1: **7 Dec** Tuesday **1:00-2:15pm**

Lecture 2: **10 Dec** Friday** 3:30-5:00pm**

These first two lectures will be on Zoom (please contact organisers of the student seminar for link)

Lecture 3: **14 Dec 9:30-11:30am**

Lecture 4: **17 Dec 9:30-11:30am**

Lecture 5: **11 Jan 2-4pm** Zoom

**Abstract:** This series of lectures will be focused on working through Section 3.1, the first three sentences of 5.1.1, and section 5.2.2 of the paper by Ginzburg-Guay-Opdam-Rouquier (arXiv:math/0212036) entitled “On the category O for rational Cherednik algebras”. The goal is to do the examples of the KZ-functor for cyclic groups, dihedral groups and symmetric groups. The plan is for the lectures to be suitable for a GroupTheory and Linear Algebra student to build on their knowledge of what a group, vector space, and an eigenvalue are.

The TAs will be Yifan Guo and Haris Rao and anyone else who wishes to step up.

Depending on how we go, there may be further lectures in this series in January, on Tuesdays and Fridays, recommencing on 11th January.