MIT Combinatorics Seminar
A combinatorial model for the Macdonald polynomials
Jim Haglund
(UPenn)
http://www.math.upenn.edu/~jhaglund/
Wednesday, December 08, 2004
4:15 pm Room 2338
ABSTRACT

We discuss a recent result of the speaker, M. Haiman and N. Loehr, which gives
a combinatorial formula for the coefficient of a monomial in the Macdonald
polynomial. The formula was first discovered by the speaker using experimental
methods. Corollaries include a new proof of the +LascouxSchutzenberger
cocharge formula for HallLittlewood polynomials, a combinatorial formula of
Sahi and Knop for Jack symmetric functions, and a decomposition of Macdonald
polynomials into the LLT polynomials of Lascoux, Leclerc and Thibon.


