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MIT Combinatorics Seminar

Recent Results for Kerov's and Stanley's Character Polynomials


Amarpreet Rattan (Department of Mathematics, MIT)

Friday, March 3, 2006   4:30 pm    Room 2-105

ABSTRACT

Kerov and Stanley introduced two different polynomials both of which evaluate characters of the symmetric group. In this talk, I will introduce these polynomials, discuss their various properties and address the main conjectures concerning these polynomials. Namely, it is conjectured that both polynomials display positivity properties. Although the positivity questions are not answered fully, some progress has been made on them.