Project C3: Tame patterns in the representation theory of reductive Lie groups and arithmetic geometry

The goal of Project C3 is to convert classification problems for representations of real reductive algebraic groups and their analogues over number fields, as well as other questions arising from arithmetic algebraic geometry, into questions about the representation theory of associative algebras, and then solve them where that is theoretically possible, which is the so-called tame case. In particular, tame derived categories will be intensively investigated.