Vector bundles and Cohen-Macaulay modules

Abstract

This survey presents some recent results of G.-M.Greuel and the author on vector bundles over algebraic curves and on Cohen-Macaulay modules over surface singularities. It is mainly devoted to the classification problems, especially to the tame-wild dichotomy and to the description of vector bundles and Cohen-Macaulay modules in the tame cases.

Lectures given at the Workshop on Algebraic Geometry and Representation Theory (ICRA-X, Toronto, 2003); 15 pages