As an attempt to prove the well-known shuffle conjecture, Haglund, Morse and Zabrocki introduced a family of symmetric function operators which are closely related to operators of Jing. Jeff Remmel at UCSD and I studied the combinatorics of these operators. In this talk, we explain the Schur coefficients of these operators applied to Schur functions. This combinatorial method gives a new recursion for the Kostke-Foulkes polynomials.
CAGE: Philadelphia Area Combinatorics and Alg. Geometry Seminar
Tuesday, March 13, 2012 - 2:00pm
Meesue Yoo
KIAS