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

## October 25, 2019 @ 4:00 pm - 5:00 pm

**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.