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SUMMARY:Tuomas Tajakka (University of Washington)
DTSTART:20210212T180000Z
DTEND:20210212T193000Z
DTSTAMP:20260423T024724Z
UID:CAGS/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAGS/10/">Uh
 lenbeck compactification as a Bridgeland moduli space</a>\nby Tuomas Tajak
 ka (University of Washington) as part of Columbia algebraic geometry semin
 ar\n\n\nAbstract\nIn recent years\, Bridgeland stability conditions have b
 ecome\na central tool in the study of moduli of sheaves and their biration
 al\ngeometry. However\, moduli spaces of Bridgeland semistable objects are
 \nknown to be projective only in a limited number of cases. After\nreviewi
 ng the classical moduli theory of sheaves on curves and\nsurfaces\, I will
  present a new projectivity result for a Bridgeland\nmoduli space on an ar
 bitrary smooth projective surface\, as well as\ndiscuss how to interpret t
 he Uhlenbeck compactification of the moduli\nof slope stable vector bundle
 s as a Bridgeland moduli space. The proof\nis based on studying a determin
 antal line bundle constructed by Bayer\nand Macrì. Time permitting\, I wi
 ll mention some ongoing work on\nPT-stability on a 3-fold.\n
LOCATION:https://researchseminars.org/talk/CAGS/10/
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