I will report on joint work with Dolors Herbera. We study the representation type of a hereditary, indecomposable, left pure semisimple ring in terms of properties of a certain tilting and cotilting module W. In particular, we apply the tilting and the cotilting functors to describe the Auslander-Reiten-components of the endomorphism ring of W. I will close the talk with a list of open questions.