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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
Applicant Institution Universität Bielefeld
 
 

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