Math 264C - Coxeter Groups (Spring 2021)

Lecture times and location: pre-recorded, posted below
Textbook: James Humphreys, Reflection Groups and Coxeter Groups
Instructor: Steven Sam email
Instructor office hours: Zoom, Mondays 10-11AM (shared with 188, I will split if it becomes a problem) or by appointment
Discord server: link (we'll use this to discuss the class)

Homework

Homework is required for undergraduates and masters students taking this course for credit.

My notes for the course

Notes (last updated 5/8/21)

Schedule

We will go by weeks rather than individual lectures. I will break up videos based on logical stopping places rather than set time limits.
Each week corresponds to roughly 5-6 pages of the course notes (how much I cover in an in-person lecture).
Unfortunately there may be small mistakes in the videos. I list them in the video description.
I list also some sections of Humphrey's book that are related to the lecture.

Week 1 (Mar 29)
- Notes: Sections 1.1-1.5
- Humphreys: 5.1-5.7
- Videos: Lecture 1, Lecture 2, Lecture 3
- Notes from lectures: Lecture 1, Lecture 2, Lecture 3
Week 2 (Apr 5)
- Notes: Sections 1.6-1.9
- Humphreys: 5.8-5.10, 5.12-5.13, 6.2
- Videos: Lecture 4, Lecture 5, Lecture 6
- Notes from lectures: Lecture 4, Lecture 5, Lecture 6
Week 3 (Apr 12)
- Notes: Sections 2.1-2.2
- Humphreys: 2.1-2.3, 6.3-6.4
- Videos: Lecture 7, Lecture 8
- Notes from lectures: Lecture 7, Lecture 8
Week 4 (Apr 19)
- Notes: Sections 2.3-2.5
- Humphreys: 2.4-2.10, 6.8
- Videos: Lecture 9, Lecture 10, Lecture 11
- Notes from lectures: Lecture 9, Lecture 10, Lecture 11
Week 5 (Apr 26)
- Notes: Sections 3.1-3.4
- Humphreys: 3.1-3.5, 3.7-3.9, 3.11
- Videos: Lecture 12, Lecture 13, Lecture 14
- Notes from lectures: Lecture 12, Lecture 13, Lecture 14
Week 6 (May 3)
- Notes: Sections 3.5-3.7
- Humphreys: 3.6, 3.10, 3.13, 3.15
- Videos: Lecture 15, Lecture 16, Lecture 17
- Notes from lectures: Lecture 15, Lecture 16, Lecture 17
Week 7 (May 10)
- Notes: Sections 3.8-3.9, 4.1
- Humphreys: 1.15-1.16, 3.12, 4.1
- Videos: Lecture 18, Lecture 19, Lecture 20
- Notes from lectures: Lecture 18, Lecture 19, Lecture 20
Week 8 (May 17)
- Notes: Sections 4.2-4.5
- Humphreys: 4.2-4.8
- Videos: Lecture 21, Lecture 22, Lecture 23
- Notes from lectures: Lecture 21, Lecture 22, Lecture 23
Weeks 9+10 (May 24)
- Notes: Sections 4.6, 5.1-5.4
- Humphreys: 7.1-7.5, 7.7, 7.9-7.11
- Videos: Lecture 24, Lecture 25, Lecture 26, Lecture 27
- Notes from lectures: Lecture 24, Lecture 25, Lecture 26, Lecture 27