|Location:||MSRI: Baker Board Room|
The elliptic stable envelope was recently defined by M.Aganagic and A.Okounkov.
I will describe an explicit formula for the elliptic stable envelope in the case of Hilbert scheme of points on the complex plane. This construction leads to some new 4-parametric ``elliptic Macdonald polynomials''. In a certain limit it also provides explicit formulas for K-theoretic stable envelope function for the arbitrary slope.