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Graduate Student Combinatorics Seminar

Wednesday, April 8, 2009 - 12:30pm

Meesue Yoo

University of Pennsylvania

Location

University of Pennsylvania

4E19

In 1988, Macdonald introduced a family of symmetric functions with two variables that are known as the Macdonald polynomials which becomes a basis for the space of symmetric functions. Also, he defined the integral form Macdonald polynomials by multiplying certain polynomials to the Macdonald polynomials and he conjectured that the coefficients of the integral form Macdonald polynomials in modified Schur expansion are polynomials in q and t with nonnegative coefficients. In this talk, we consider the pure Schur expansion of integral form Macdonald polynomials and construct a combinatorial formula for the Schur coefficients in the hook case.