Since Shelah’s solution of the Whitehead problem, set-theoretic methods in representation theory found applications in the structure theory of almost free modules, tilting modules, Mittag-Leffler modules, among others. These applications are not restricted to proving independent results and they often provide strong tools for understanding properties of large modules/representations expressed as suitably filtered colimits of the small ones. 

The Miniworkshop will present some of the current open problems of the theory (such as the Enochs Conjecture on covering classes of modules) that are generally believed to be solvable by set-theoretic and/or model-theoretic methods.