# Math 601: Advanced Combinatorics I

This course will focus on the combinatorics of Young tableaux, crystal bases, root systems, and symmetric functions arising in representation theory.

Lectures will be held at 3:00 PM MWF. If weather permits we will be outdoors outside of Weber Hall. All lectures (including outdoors) will be recorded. When weather does not permit, we will meet on Zoom.

**Zoom Meeting Room ID: 142-012-467**

The password is the number of distinct ways to rearrange the numbers in the Zoom meeting ID.

## Details

Here are the Lecture Notes. These will be added to and updated throughout the course.

For more details, see the Course Syllabus. All other information will be posted to Canvas.

## Homework

## In-Class Notes

Lecture 7 Notes - Representations of sl2 Part 1

Lecture 8 Notes - Representations of sl2 Part 2

Notes from Sept 16 and 18 Lectures

Lecture Notes, September 28, 30, and October 2 - Combinatorics of tableau crystals for sl3

Lecture Notes, Oct 5 - More sl3 combinatorics

Lecture Notes, Oct 7,9 - representation theory of sln