Description
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.