The combinatorics of Koornwinder-Macdonald polynomials

In this talk, we will review some of the background in Macdonald polynomials and I will present some formulas from generating the Macdonald-Koornwinder polynomials (Macdonald polynomials of type CC_n) in analogy with the classical Macdonald polynomials. I will also present other more combinatorial formulas, including some compression formulas and their interpretation in the model of compressed set-valued tableaux.