TRR 358 - Tame patterns in the representation theory of reductive groups and arithmetic geometry (Subproject C03)
Overview
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 groups over the real numbers or a number field, and from classification problems in arithmetic algebraic geometry. When the base field is algebraically closed, we can often understand which of these algebras are tame; we seek to do the same over more general bases.
DFG Programme CRC/Transregios
Subproject of TRR 358: Integral Structures in Geometry and Representation Theory
Applicant Institution Universität Bielefeld
Key Facts
- Project type:
- Research
- Project duration:
- 01/2023 - 12/2026
- Funded by:
- DFG
- Website:
-
DFG-Datenbank gepris