Tame patterns in the representation theory of reductive Lie groups and arithmetic geometry (C03)

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

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
• Project Heads: Professor Dr. Igor Burban; Professor Dr. William Crawley-Boevey; Professor Dr. Fabian Januszewski