Projects from Prof. Dr. Fabian Januszewski
Algebra and Number Theory
TRR 358 - Tame patterns in the representation theory of reductive groups and arithmetic geometry (Subproject C03)
One says that an associative algebra has tame representation type if a complete classification of its indecomposable representations is possible, at least in principle. For example the classification of Harish-Chandra modules for the group SL(2,R) was reduced by Gelfand to such an algebra. We shall study algebras arising from more general reductive ...
Duration: 01/2023 - 12/2026
Funded by: DFG
TRR 358 - Integral structures in geometry and representation theory
Integral structures arise in many places throughout mathematics: as lattices in Euclidean space, as integral models of reductive groups and algebraic schemes, or as integral representations of groups and associative algebras. Even questions about the most basic example of an integral structure, the ring of integers Z, very soon lead into the fields ...
Duration: 01/2022 - 12/2026
Funded by: DFG