Summary:
We will continue to study the representations of finite-dimensional associative algebras as they arise in many parts of mathematics and mathematical physics. The main target will be to describe the general structure of the module category, its derived categories as well as related categories, in particular the homotopy category of perfect complexes. Combinatorial invariants lead to topological structures such as the Auslander-Reiten complex, the geometrical analysis deals with the spectral parameters involved.
