Singularities: algebra, geometry and applications

The aim of this school is to introduce the younger researchers and graduate students to the modern trends of the theory of singularities, including both algebraic and geometric aspects, and both classical approaches and the newest ones, related to derived categories, noncommutative geometry, representation theory, tropical geometry, etc. In particular, introductory courses in these areas will be given. Applications of the theory to mathematical physics (Young-Mills equations, mirror symmetry, etc.), computer science and other fields will also be considered. The program will include both lecture courses with exercises and talks of the participants. Especially those questions will be treated which have been the topics of collaboration between the Ukrainian and the West-European scientists, as well as with the mathematicians from Belorus, Georgia, Rumania, Russia and other countries.