# Kęstutis Česnavičius: Macaulayfication of Noetherian schemes

**Time: **
Wed 2019-02-27 13.15 - 14.15

**Location: **
Room 3418, KTH

**Participating: **
Kęstutis Česnavičius (Orsay)

Abstract: To reduce to resolving Cohen–Macaulay singularities, Faltings initiated the program of "Macaulayfying" a given Noetherian scheme *X*. Under various assumptions Faltings, Brodmann, and Kawasaki built the sought Cohen–Macaulay modifications without preserving the locus where *X* is already Cohen–Macaulay. We will discuss an approach that overcomes this difficulty and hence completes Faltings' program.