Representation theory is a central branch of modern mathematics that studies realizations of abstract non-linear structures using classical linear and/or combinatorial concrete structures like matrices, linear operators and quivers. It is a very active and dynamic area, both heavily influenced by important applications to algebra, combinatorics, geometry, topology, analysis, category theory, number theory, mathematical physics and other branches of mathematics and physics.
The aim of this school is to introduce some of the currently most active research topics of the subject mainly to Iranian algebra community and also to neighboring countries. The emphasis will be on background from and connections to more classical theory. Some of the central topics that will be discussed during the School by well-known experts are: support varieties and connection to group representations, triangulated categories, categorical and combinatorial aspects of recent generalizations of tilting theory, and model theoretical aspects of representation theory.