Project Details
Projekt
Counting points on quiver Grassmannians (C04)
Subject Area
Mathematics
Term
since 2023
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 491392403
Quiver Grassmannians play an important role in many areas of representation theory. Point counting functions over finite fields of quiver Grassmannians of rigid modules provide a link between Hall algebras and cluster algebras. The existence of models over the integers for quiver Grassmannians and the polynomial point count property enable us to relate those point counting functions with cohomology of quiver Grassmannians over the complex numbers. We study in this project subobject Grassmannians of (certain) exact categories. This is a very natural generalization, as exact categories are the correct framework for many constructions in homological algebra. The study of these subobject Grassmannians will be an important contribution to our understanding of Hall algebras and exact categories with cluster structure.
DFG Programme
CRC/Transregios
Applicant Institution
Universität Bielefeld
Project Heads
Privatdozent Dr. Hans Franzen; Dr. Julia Sauter
