WEEKLY ACTIVITIES

Time: 9h00, Wednesday, May 11, 2016
Location: Room 6, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi
Abstract: Let $R$ be a Cohen-Macaulay local ring and $M$ be a finitely generated $R$-module. In this talk we discuss a construction of certain subquotients of the module $M$. 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 $M$ relative to an almost p-standard system of parameters - a 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.