Description
Commutative algebra seminar
Title: Depth of higher associated graded modules
Abstract: Let (A,m) be a Noetherian local ring with depth(A) > 1, I an
m-primary ideal, M a finitely generated A-module of dimension r, and G_n,
the associated graded module of M with respect to I^n. We will discuss a
necessary and sufficient condition for depth (G_n) > 1 for all
sufficiently large. This talk is based on a paper by Tony Joseph
Puthenpurakal (Ratliff-Rush filtration, regularity and depth of higher
associated graded modules: Part I )