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SUMMARY:Tuomas Tajakka (University of Washington)
DTSTART:20210329T200000Z
DTEND:20210329T210000Z
DTSTAMP:20260423T021413Z
UID:AGSAGS/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGSAGS/25/">
 Uhlenbeck compactification as a Bridgeland moduli space</a>\nby Tuomas Taj
 akka (University of Washington) as part of American Graduate Student Algeb
 raic Geometry Seminar\n\n\nAbstract\nIn recent years\, Bridgeland stabilit
 y conditions have become a central tool in the study of moduli of sheaves 
 and their birational geometry. However\, moduli spaces of Bridgeland semis
 table objects are known to be projective only in a limited number of cases
 . After reviewing the classical moduli theory of sheaves on curves and sur
 faces\, I will present a new projectivity result for a Bridgeland moduli s
 pace on an arbitrary smooth projective surface\, as well as discuss how to
  interpret the Uhlenbeck compactification of the moduli of slope stable ve
 ctor bundles as a Bridgeland moduli space. The proof is based on studying 
 a determinantal line bundle constructed by Bayer and Macrì. Time permitti
 ng\, I will mention some ongoing work on PT-stability on a 3-fold.\n
LOCATION:https://researchseminars.org/talk/AGSAGS/25/
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