Title: The E-polynomials of a stratification of the Hilbert scheme of points
2018.11.12 |
Date | Wed 14 Nov |
Time | 14:15 — 15:15 |
Location | 1531-219 (Aud. D4) |
Abstract:
The stratification associated with the number of generators of the ideals of the punctual Hilbert scheme of points on the affine plane has been studied since the ' 70s.
I will present a formula for the E-polynomials of these strata. The proof uses a Grassmannian bundle structure on the refined Hilbert scheme: a particular flag-type generalization of Hilbert scheme, together with the motivic property of the E-polynomial.