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SUMMARY:Yuly Billig (Carleton University)
DTSTART:20240111T220000Z
DTEND:20240111T233000Z
DTSTAMP:20260423T005719Z
UID:PIMS_GAP/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PIMS_GAP/17/
 ">Sheaves of AV-modules over projective varieties</a>\nby Yuly Billig (Car
 leton University) as part of PIMS Geometry / Algebra / Physics (GAP) Semin
 ar\n\nLecture held in THORV 124.\n\nAbstract\nAV-modules are representatio
 ns of the Lie algebra $V$ of vector fields that admit a compatible action 
 of the commutative algebra $A$ of functions. This notion is a natural gene
 ralization of $\\mathcal D$-modules. In this talk we shall start by review
 ing the theory of AV-modules over smooth irreducible affine varieties $X$.
  When the variety $X$ is projective\, it is necessary to consider sheaves 
 of AV-modules. We describe associative algebras that control the category 
 of AV-modules\, and construct a functor from the category of strong repres
 entations of Lie algebra of jets of vector fields to the category of AV-mo
 dules.  This talk is based on the joint work with Colin Ingalls\, as well 
 as the work of Emile Bouaziz and Henrique Rocha.\n\nHybrid delivery (in pe
 rson on University of Saskatchewan campus and via Zoom).\n
LOCATION:https://researchseminars.org/talk/PIMS_GAP/17/
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