M-seminar: Nabla positivity and Tor groups
Speaker: Erik Carlsson (UC Davis)
Abstract: I will describe some new formulas with A. Mellit for the nabla operator from Haiman-Garsia-Macdonald theory in two different modified elementary symmetric function bases. I will explain their geometric origin, and pose some new conjectures for which these formulas would be a corollary, that would imply the conjectured positivity of this operator in the Schur basis, and are also related to certain Tor groups studied by Goresky, Kottwitz, and Macpherson related to the affine Springer fiber in type A.
Tuesday, November 12, 2019 at 4:00pm to 5:30pm
CW 146, CW 146