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SUMMARY:Libby Taylor (Stanford)
DTSTART:20220425T170000Z
DTEND:20220425T180000Z
DTSTAMP:20260423T005805Z
UID:LAGeNT/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGeNT/27/">
 Higher Brauer groups and higher Azumaya algebras</a>\nby Libby Taylor (Sta
 nford) as part of Leiden Algebra\, Geometry\, and Number Theory Seminar\n\
 n\nAbstract\nLet X be some scheme.  We are all familiar with the fact that
  classes in H^1(X\,G_m) correspond to line bundles\, or invertible sheaves
 .  Most of us have also seen the interpretation of H^2(X\,G_m) as Azumaya 
 algebras\, which are invertible bundles up to Morita equivalence.  This ra
 ises the question: what about H^3\, or H^4\, or H^n?  Can they be interpre
 ted as some kind of invertible objects over X?  For H^3\, the answer turns
  out to be yes\, and we will describe objects we call 2-Azumaya algebras w
 hich provide such an interpretation.\n
LOCATION:https://researchseminars.org/talk/LAGeNT/27/
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