Người báo cáo: Hoang Le Truong (Institute of Mathematics, Hanoi)
Thời gian: 9h30, thứ 6, ngày 12 tháng 12 năm 2014
Địa điểm: Phòng 301, Nhà A5 Viện Toán học, 18 Hoàng Quốc Việt, Cầu Giấy, Hà Nội
Tóm tắt: For a Noetherian local ring (R,m), the Hilbert coefficients of the I-adic filtration of an m-primary ideal I are known to code for properties of R, of the blowup of Spec(R) along V (I), and even of their normalizations. In this note we survey and discuss the main results on the Hilbert coefficients. We give estimations for these coefficients when I is enlarged for general Noetherian local rings. Moreover we introduce some generalizations of the Hilbert coefficients and we relate this new Hilbert coefficients to other numbers introduced in different contexts.
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