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Taipei Postdoc Seminar
 
11:00 - 12:30, January 18, 2019 (Friday)
Room 638, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 638室)
The E-polynomials of a Stratification of the Hilbert Scheme of Points
Yi-Ning Hsiao (University of Geneva)

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.



 

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 (C) 2018 National Center for Theoretical Sciences