The aim of the school is to introduce graduate students to the modern categorical methods in representation theory. The three courses of the first week will focus on the basic elements required for further topics. Thus, these courses will consist on brief recollections and introductions to: Categories and modules, group actions and bisets, linear representations of finite groups and block theory. For all of them there will be training sessions in the afternoons, where problems, doubts and related questions will be discussed.
During the second week there will be three advanced courses intended to be an exposition of the recent trends in representation theory of finite groups and related algebras. The subjects of these courses will be: Blocks of finite quasi-simple groups, cohomological methods in block theory, and fusion systems and Burnside rings. Besides lectures, we are also planning four talks regarding complementary topics in algebra.
Official language of the school: English