Time: 9h00, Wednesday, November 4, 2015
Location: Room 6, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi
Abstract: We first prove that the depth $depth R / I^{(n)}$ of the residue ring by sym- bolic powers of a squarefree monomial ideal $I$ is constant for enough large $n$ and give a bound of $n$ for which this depth stabilizes. Next in unmixed codimension two case we give a sharp bound for the above $n$ and show that $depth R / I^{(n)}$ is a non-increasing function with respect to $n$.