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SUMMARY:Thorsten Heidersdorf (Newcastle University)
DTSTART:20260401T080000Z
DTEND:20260401T093000Z
DTSTAMP:20260422T155159Z
UID:HKUST-AG/85
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HKUST-AG/85/
 ">Koszulity for semi-infinite highest weight categories</a>\nby Thorsten H
 eidersdorf (Newcastle University) as part of Algebra and Geometry Seminar 
 @ HKUST\n\nLecture held in Room 3598 (Lift 27/28).\n\nAbstract\nKoszul alg
 ebras are positively graded algebras with very amenable homological proper
 ties. Typical examples are the polynomial ring over a field or the exterio
 r and symmetric algebra of a vector space. A category is called Koszul if 
 it has a grading with which it is equivalent to the category of graded mod
 ules over a Koszul algebra. A famous example (due to Soergel) is the princ
 ipal block of category $\\mathcal{O}$ for a semisimple Lie algebra. Koszul
 ity is a very nice property but often very difficult to check. I will give
  a criterion which allows to check Koszulity in case the category is a gra
 ded semi-infinite highest weight category (which is a structure that appea
 rs often in representation theory). This is joint work with Jonas Nehme \n
 and Catharina Stroppel.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/85/
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