WEEKLY ACTIVITIES

Hilbert coefficients of d-sequences
Speaker: Doan Trung Cuong (Institute of Mathematics, Hanoi)

Time: 14h30, Friday, December 12, 2014

Location:  Room 310, Building A5, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Ha Noi

Abstract:  We construct in a finitely generated module over a Cohen-Macaulay local ring several subquotient modules. In terms of multiplicities of these subquotients, we give precise formulas computing all the partial Euler-Poincaré characteristics of the Koszul complex and the Hilbert coefficients of the module relative to an almost p-standard system of parameters - a very trict subclass of d-sequences on the module. The formulas enable us to establish some comparison between the partial Euler-Poincaré characteristics and the Hilbert coefficients.

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