3:45PM: Maximal CohenMacaulay modules, MCM approximations, and their usesDavid EisenbudEvery module has a "best" approximation by maximal CohenMacaulay modules (aka: vector bundles with little cohomology). I'll describe the (easy) theory of maximal CohenMacaulay approximations, due to Auslander and Buchweitz, explain a current mysteries, and describe an application to the theory of free resolutions.
