[Turkmath:6639] FW: İSTANBUL BİLGİ ÜNİVERSİTESİ MATEMATİK SEMİNERLERİ

[Oya Cesur Demir]

Assist. Prof. Feza Arslan
(Middle East Technical University)
6 November Friday, at 14:00;
Bilgi Üniversitesi Dolapdere Kampüsü, Room:130.
Title:
Hilbert Functions of One-dimensional Local Rings
 Abstract:
In general, very little is known about the Hilbert functions of local rings,even in dimension 1 case. In the first part of this talk, the preliminaries will be explained in detail and some open problems will be mentioned, including Rossi's conjecture, which is open even for Gorenstein local rings corresponding to monomial curves. In the second part, some partial results supporting Rossi's conjecture in the monomial curve case will be presented. These results based on the tool of gluing provide infnitely many families of monomial curves with the corresponding local Gorenstein rings having nondecreasing Hilbert functions.

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