Algebraic Geometry Seminar
Erik Carlsson
UC Davis
The unramified affine springer fiber and the nabla operator
Abstract: I'll present a new result with A. Mellit, which gives a combinatorial formula for a remarkable diagonalizing operator for the modified Macdonald polynomials, known as the nabla operator. This formula was discovered by finding a Schubert-type basis of a certain explicit module from Haiman's polygraph theory, which is conjecturally identified with the equivariant homology of the unramified affine Springer fiber studied by Goresky, Kottwitz, and Macpherson.
Monday March 1, 2021 at 3:00 PM in Zoom