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SUMMARY:Marc Chardin (Pierre and Marie Curie University\, Jussieu\, France
 )
DTSTART:20210618T120000Z
DTEND:20210618T130000Z
DTSTAMP:20260423T021002Z
UID:VCAS/87
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCAS/87/">Mu
 ltigraded Sylvester forms\, Duality and Elimination</a>\nby Marc Chardin (
 Pierre and Marie Curie University\, Jussieu\, France) as part of IIT Bomba
 y Virtual Commutative Algebra Seminar\n\n\nAbstract\nThis talk will report
  on joint work with Laurent Busé and Navid Nemati. First\, the classical 
 situation of the theory of resultants and Sylvester forms in a standard gr
 aded algebra will be presented\, as it was developed by Jouanolou in a ser
 ies of monographs. Then we will explain the extension of this theory to th
 e multi-graded case (which corresponds to a product of projective spaces\,
  in place of a single one). This builds on the previous work of two Ph.D. 
 students of Jouanolou (Chaichaa and Chkiriba) and an extension of a dualit
 y result from the classical case to this more general setting. We will ill
 ustrate these in a very simple case\, by providing a family of formulas th
 at extends the work of Dixon.\n
LOCATION:https://researchseminars.org/talk/VCAS/87/
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