UC Berkeley

Commutative Algebra and Algebraic Geometry Seminar

April 19, 2016

939 Evans Hall

3:45PM: Maximal Cohen-Macaulay modules, MCM approximations, and their uses

David Eisenbud

Every module has a "best" approximation by maximal Cohen-Macaulay modules (aka: vector bundles with little cohomology). I'll describe the (easy) theory of maximal Cohen-Macaulay approximations, due to Auslander and Buchweitz, explain a current mysteries, and describe an application to the theory of free resolutions.

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