A new definition of integral form Macdonald polynomials
ABSTRACT
Mellit explained the Modified Macdonald polynomials can be viewed as a generating function for the number of points in parabolic affine Springer fibers. In this talk we explain that the plethystic transformation that relates integral form Macdonald polynomials and modified Macdonald polynomials has an interpretation in terms of traces on the Hecke algebra. This leads to an interpretation of the integral form Macdonald polynomials as generating functions for the number of points Lusztig varieties.