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SUMMARY:Marilina Rossi (University of Genoa)
DTSTART:20201201T120000Z
DTEND:20201201T130000Z
DTSTAMP:20260423T021002Z
UID:VCAS/38
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCAS/38/">A 
 constructive approach to one-dimensional Gorenstein k-algebras</a>\nby Mar
 ilina Rossi (University of Genoa) as part of IIT Bombay Virtual Commutativ
 e Algebra Seminar\n\n\nAbstract\nCodimension three Gorenstein rings are co
 mpletely described by  Buchsbaum and Eisenbud's structure theorem\, but de
 spite many attempts the construction of Gorenstein rings is an open proble
 m in higher codimension. Gorenstein rings are of great interest in many ar
 eas of mathematics and they have appeared as an important component in a s
 ignificant number of problems. Our task is to give a procedure for constru
 cting all  $1$-dimensional Gorenstein $k$-algebras. Applications to the Go
 renstein linkage  of zero-dimensional schemes and to Gorenstein affine sem
 igroup rings are discussed. The results are based on recent results obtain
 ed jointly with J. Elias.\n
LOCATION:https://researchseminars.org/talk/VCAS/38/
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