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SUMMARY:Nick Addington (University of Oregon)
DTSTART:20210129T230000Z
DTEND:20210130T000000Z
DTSTAMP:20260423T024620Z
UID:UCSBsga/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSBsga/9/">
 Moduli spaces of sheaves on moduli spaces of sheaves</a>\nby Nick Addingto
 n (University of Oregon) as part of UCSB Seminar on Geometry and Arithmeti
 c\n\n\nAbstract\nIt often happens that if M is a moduli space of vector bu
 ndles on a curve C\, then C is also a moduli space of vector bundles on M\
 , where the bundles on M come from taking "wrong-way slices" of the the un
 iversal bundle on M x C. This story starts in the '70s and is due to Naras
 imhan and Ramanan\, Newstead\, and others.  Reede and Zhang recently obser
 ved that a similar result holds for some Hilbert schemes of points\, and f
 or certain moduli spaces of rank-0 sheaves on K3 surfaces.  I will discuss
  joint work with my student Andrew Wray\, showing that it holds for moduli
  spaces of high-rank sheaves on K3 surfaces.  Techniques include the Quill
 en metric on determinant line bundles and twistor families of hyperkaehler
  manifolds.\n
LOCATION:https://researchseminars.org/talk/UCSBsga/9/
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