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SUMMARY:Ziyu ZHANG (ShanghaiTech University)
DTSTART:20210714T021000Z
DTEND:20210714T030000Z
DTSTAMP:20260423T024514Z
UID:2021PRCSG/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/2021PRCSG/7/
 ">Degenerations of Hilbert schemes of points on K3 surfaces</a>\nby Ziyu Z
 HANG (ShanghaiTech University) as part of 2021 Pacific Rim Complex & Sympl
 ectic Geometry Conference\n\n\nAbstract\nIt is a widely open problem to un
 derstand the degenerations of higher dimensional hyperkähler manifolds. T
 he simplest case would be the degenerations of Hilbert schemes of points o
 n K3 surfaces. Given a simple degeneration family of K3 surfaces\, there a
 re two existing constructions of the degenerations of the Hilbert schemes 
 of its fibers in the literature\, due to Nagai and Gulbrandsen-Halle-Hulek
  respectively. I will compare the two constructions with an emphasis on th
 e geometry of the latter. Based on joint work with M.G.Gulbrandsen\, L.H.H
 alle and K.Hulek.\n
LOCATION:https://researchseminars.org/talk/2021PRCSG/7/
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