Title: Hilbert functions of Gorenstein K-algebras
Speaker: Shreedevi K. Masuti (IMSc, Chennai)
Date: 11 January 2018
Time: 4 pm
Venue: LH-5, Mathematics Department
Gorenstein rings are very common and significant in many areas of mathematics.
The following are two important and widely open problems in commutative algebra and algebraic geometry:
1. characterization of possible Hilbert functions of Gorenstein K-algebras; and
2. classification of Gorenstein K-algebras with given Hilbert functions.
Recently, in a joint work with M.E. Rossi, we obtained partial results to these problems in some cases
(K-algebras of socle degree 4). In this talk, we will discuss these new developments.