Jim Haglund

Affiliation: University of Pennsylvania

Email: jhaglund@math.upenn.edu

Title Of Talk: A Combinatorial Formula for the Macdonald Polynomials

URL: http://www.math.upenn.edu/~jhaglund/

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 Lascoux-Schutzenberger cocharge formula for Hall-Littlewood polynomials and a combinatorial formula of Sahi and Knop for Jack symmetric functions.


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