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Shreedevi K. Masuti ( Chennai Mathematical Institute, Chennai)
Date & Time
Fri, 06 April 2018, 11:30 to 12:30
Emmy Noether Seminar Room, ICTS Campus, Bangalore

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 very 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.