String-Math Seminar: Double-elliptic Macdonald Polynomials

Seminar | September 25 | 2-3 p.m. | 402 LeConte Hall

 Andrey Smirnov, UC Berkeley

 Department of Mathematics

I will describe a new geometric way to think about symmetric polynomials. We will consider some special classes in the equivariant elliptic cohomology of Hilbert scheme of points on the complex plane (elliptic stable envelopes). It is natural to think about these classes as two parametric elliptic generalization of Macdonald polynomials. All other important symmetric polynomials such as Macdonald, Jack and Schur polynomials appear as different limits of these most general objects.