Midwest Algebra, Geometry and their Interactions Conference MAGIC05 University of Notre Dame, Notre Dame October 7-11, 2005 Gorenstein liaison and ACM sheaves by Robin HARTSHORNE, University of California at Berkeley Abstract: In studying the Gorenstein liaison of codimension 2 subschemes on projective varieties, it has become important to understand the structure of the category of ACM sheaves (those having no intermediate cohomology) on those schemes. I will report on some recent work in this direction.