Andrey Smirnov, UNC-Chapel Hill – Geometric Methods in Representation Theory Seminar

Title: Elliptic stable envelope for Hilbert scheme of points on C^2.

Abstract: In this talk I describe an explicit formula for elliptic stable envelope of  torus fixed points on the Hilbert scheme of points in C^2. In K-theoretic limit we obtain new combinatorial formulas for Schur, rational Schur and Macdonald polynomials. In particular, we obtain explicit combinatorial formula for the coefficients of the Kostka matrix.