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