Midwest Algebra, Geometry and their Interactions Conference MAGIC05 University of Notre Dame, Notre Dame October 7-11, 2005 G-biliaison of determinantal schemes by Elisa GORLA, Universität Zürich Abstract: A central open question in liaison theory asks whether every arithmetically Cohen-Macaulay scheme belongs to the G-liaison class of a complete intersection. In this talk we will give an introduction to the problem, and discuss some recent results regarding families of schemes whose ideals are generated by minors of matrices with polynomial entries.