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Seminar by S.Masuti

Monday, August 27, 2018 - 15:30 to 16:30
Seminar Room, School of Mathematical Sciences
Shreedevi K. Masuti
Chennai Mathematical Institute
Hilbert functions of Gorenstein K-algebras

Gorenstein rings are very common and significant in many areas of mathematics. The classification, up to analytic isomorphism, of Gorenstein local K-algebras plays an important role in commutative algebra and algebraic geometry. The problem is difficult even if we restrict the K-algebras to the Artinian. One of the most significant information on the structure of K-algebra is given by its Hilbert function. Recently, jointly with M. E. Rossi, we characterized the Hilbert functions of Gorenstein K-algebras in some cases (K-algebras of socle degree 4). In this talk, we will discuss this new development. 

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