Supervisor: Mark Haiman
Organizers: Maria Monks and Steven Sam
| Date | Speaker | Subject | References |
|---|---|---|---|
| Wed, Feb. 6 | Maria Monks | Background on symmetric function theory | Stanley, Ch. 7, Macdonald, I.1-9 |
| Fri, Feb. 15 | Steven Sam | Introduction to Hall-Littlewood polynomials | Macdonald, III.1-5 |
| Fri, Feb. 22 | Steven Karp | Charge and the q-Kostka numbers | Macdonald, III.6; Butler, Ch.2; Haiman, 3.4 |
| Fri, Mar. 1 | Mark Haiman | Applications of Hall-Littlewood polynomials | Notes by Steven Sam |
| Fri, Mar. 8 | George Melvin | q-Kostka polynomials and translates of Garnir polynomials | Garsia, Procesi, Bergeron, Garsia, Notes by George Melvin |
| Fri, Mar. 15 | Steven Sam | Introduction to Macdonald polynomials | Macdonald, VI |
| Fri, Mar. 22 | Maria Monks | A combinatorial formula for Macdonald polynomials | Haglund, Haiman, Loehr |
| Fri, Apr. 5 | George Melvin | Macdonald positivity and the n! and (n+1)^(n-1) conjectures | Haiman, (3.5), 4.1, 4.2 |
| Fri, Apr. 12 | Damien Mondragon | Connection to Hilbert Schemes | Haiman, Ch. 5 |
| Fri, Apr. 19 | George Melvin | Connection to Hilbert Schemes, II | Haiman, Ch. 5 |
| Fri, Apr. 26 | [NO TALK] | ||
| Fri, May 3 | Zvi Rosen | Affine Weyl groups and double affine braid groups | Macdonald II, Ch. 2,3, Haiman II, Sections 3,4. |
| Wed, May 8 | Arun Ram | A probabilistic interpretation of the Macdonald polynomials (RTGC seminar) | |
| Tues, May 14 | Alexander Shapiro | Affine Hecke algebras and Cherednik algebras | Macdonald II, Ch. 4, Haiman II, Section 5, Kirillov, Sections 3 and 4. |
| Fri, May 17 | Maria Monks | Nonsymmetric Macdonald polynomials and connections to Hecke algebras | Macdonald II, Ch. 5, Haiman II, Section 6. |