Hoạt động trong tuần

Depth functions of powers of ideals
Người báo cáo: Ngô Việt Trung

Thời gian: 9h, Thứ 4, ngày 8/2/2017
Địa điểm: Phòng số , nhà A14, Viện Toán học, 18 Hoàng Quốc Việt, Hà Nội
Tóm tắt: It is well-known that the depth function of the powers of a homogeneous ideal is always convergent. In general, this function tends to be a non-increasing function. It was a surprise when Herzog and Hibi showed that any non-decreasing non-negative convergent numerical function is the depth function of the powers of a monomial ideal. They raised the conjecture that this is true for any non-negative convergent numerical function. This talk will present an affirmative solution to this conjecture by N.D. Hop, H.H. Tai, N.V. Trung and T.N. Trung.

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