Grzegorz Kapustka Title: On the Morin problem ​ Abstract: We will study the Morin problem about the classification of finite complete configurations of incident planes in P^5. We show that each such configuration occurs as a subset of the singular locus of a projective model of a moduli space of twisted sheaves on a K3 surface.  As a result we show that there is a unique maximal configuration of 20 incident planes in P^5. Moreover, we classify complete configurations of 19 planes. This is a joint work in progress with A. Verra.