Number Theory Seminar: Degenerations of Hilbert schemes of points
Speaker: Lars Halle
Title: Degenerations of Hilbert schemes of points
Abstract: I will present a 'good' compactification of the relative Hilbert scheme of points associated to the smooth locus of a (simple) degeneration of varieties. This compactification is obtained by GIT-methods, and yields a new, refined, approach to earlier constructions of J. Li and B. Wu.
I will also discuss a few applications to degenerations of irreducible holomorphic symplectic varieties.
This is joint work with M. Gulbrandsen and K. Hulek (and partly with Z. Zhang).
I will also discuss a few applications to degenerations of irreducible holomorphic symplectic varieties.
This is joint work with M. Gulbrandsen and K. Hulek (and partly with Z. Zhang).