Speaker : Yi-ning Hsiao (University of Geneva)
Title : The E-polynomials of a stratification of the Hilbert scheme of points.
Time : 2019-01-18 (Fri) 11:00 - 12:30
Place : Seminar Room 638, Institute of Mathematics (NTU Campus)
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.