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QGM seminar by Yi-Ning Hsiao (Univ. Geneva)

Title: The E-polynomials of a stratification of the Hilbert scheme of points

2018.11.12 | Jane Jamshidi

Date Wed 14 Nov
Time 14:15 15:15
Location 1531-219 (Aud. D4)

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.