(8/15) Welcome to Math 249! Watch this page for further information.
(9/7) Problem Set 1 posted, due in 3 weeks.
(10/19) Problem Set 2 posted, due in 3 weeks.
(11/29) Problem Set 3 posted, due during finals week.
Office hours Wednesdays 12:00-1:30 or by appointment
MWF 3-4 pm, Latimer 105
Next we will turn to combinatorial theory of symmetric functions and Young tableaux, including Hall-Littlewood, LLT and Macdonald polynomials, and their connections with representations of the symmetric and general linear groups, and with the geometry of flag varieties and Hilbert schemes.
If we have time, I might also discuss the relationship of Hall-Littlewood and LLT polynomials to Kazhdan-Lusztig theory.
The UC library links above should work from computers on campus. You can access library resources from off campus by using the library Proxy Server.
I'll post problem sets below at irregular intervals, generally due 2-3 weeks after posting. Grades will be based on homework. There will be no exams. To get an A in the course, you should do most of the problems, not skipping the harder ones.
You can turn in problems in class, at my office (slip them under the door if I'm not in), or by e-mail as PDF files.