[Turkmath:6636] Bogazici Matematik Carsamba Seminerleri - ilan ekte

[ferit.ozturk at boun.edu.tr]

Konuşmalar İngilizce yapılmaktadır.

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Hilbert Functions of Local Rings and Rossi’s Conjecture

Feza Arslan
Orta Doğu Teknik Üniversitesi

Date : Wednesday, November 4, 2009
Time : 14:00
Place : TB 250, Boğaziçi Üniversitesi

Abstract: In general, very little is known about the Hilbert functions of local
rings, even in dimension 1 case. Maria Evelina Rossi conjectured that every one
dimensional Gorenstein local ring has a nondecreasing Hilbert function. This
conjecture is open even for Gorenstein local rings corresponding to monomial
curves. In this talk, I will present some partial results supporting
Rossi’s conjecture in the monomial curve case. These results, which are
based on the tool of gluing, provide infinitely many families of monomial
curves with the corresponding local Gorenstein rings having nondecreasing
Hilbert functions.

Tea and coffee will be served at 15:00
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