Some aspects of the spectral theory with twisting representations

Abstract

In recent years, significant advancements have been made in understanding the spectral theory of hyperbolic spaces, particularly in the context of twisting representations, both unitary as well as non-unitary. We survey some results that we obtained within the framework of the SPP 2026 "Geometry at Infinity" as well as some closely related results.

15 pages; contribution to the final volume of the SPP 2026 "Geometry at Infinity" funded by the DFG