Tue, December 1, 2020
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5:00pm [5:30pm] Marilina Rossi, University of Genoa
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Date and Time: 1 December 2020, 5:30pm IST/ 12:00 GMT/ 7:00am EDT (joining time: 5:15 pm IST - 5:30 pm IST) Speaker: Marilina Rossi, University of Genoa Google meet link: meet.google.com/aum-zrru-xtg Title: A constructive approach to one-dimensional Gorenstein k-algebras Abstract: Gorenstein rings are a generalization of complete intersections, and indeed the two notions coincide in codimension two. Codimension three Gorenstein rings are completely described by Buchsbaum and Eisenbud's structure theorem, but despite many attempts, the construction of Gorenstein rings is an open problem in higher codimension. Gorenstein rings are of great interest in many areas of mathematics and they have appeared as an important component in a significant number of problems. Our task is to give a procedure for constructing all 1-dimensional Gorenstein k-algebras. Applications to the Gorenstein linkage of zero-dimensional schemes and to Gorenstein affine semigroup rings are discussed. The results are based on recent results obtained jointly with J. Elias.
6:00pm