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

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.