The University of Michigan Combinatorics Seminar


Abstract 

The object of interest is the trace of the action of GL(F_q) and the IwahoriHecke algebra on flags. There are several different formulas and interpretations of the trace: in terms of (1) column strict tableaux, (2) weighted words, (3) Green polynomials, (3) HallLittlewood symmetric functions (4) KostkaFoulkes polynomials and (5) the number of Frational points of a certain variety. I shall summarize these interpretations and discuss the information that this trace provides about the characters of IwahoriHecke algebras. 