Zeta functions of integral quiver representations (A06)

• Subject Area: Mathematics
• Term: since 2023
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 491392403

The study of quiver representations over fields has a long, rich history. We will study integral representations of quivers, using zeta functions defined by their finite index subrepresentations as a primary tool. This will allow us to apply methods from algebraic geometry and combinatorics to the study of representations of quivers over rings of arithmetical interest, such as rings of algebraic integers. Key questions we will address are uniformity of quiver representation zeta functions and their behaviour under base extension, and Hall algebras and modules for integral quiver representations.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 358: Integral Structures in Geometry and Representation Theory
• Applicant Institution: Universität Bielefeld
• Project Heads: Professor Dr. William Crawley-Boevey; Professor Dr. Christopher Voll