Project A6: Zeta functions of integral quiver representations
Quiver representations over a field and modules over orders in semisimple algebras are traditional objects of study of representation theory of associative algebras. Project A6 is devoted to quiver representations over Dedekind rings. The goals of this project include a description of the complexity of such quiver representation zeta functions for specific classes of quivers and rings, and uniqueness of an absolutely indecomposable integral representation whose dimension vector is a positive real root.