Some aspects of the spectral theory with twisting representations

2026/07/24 by Anke Pohl
Mathematics · #math.SP #math.NT

paper · pdf

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.

Citations

• The divisor of the twisted Selberg zeta function

Related

• Scattering Theory with Unitary Twists
• On the spectrum of twisted Laplacians and the Teichmüller representation
• Spectral Geometry
• Spectra of differentiable hyperbolic maps
• Signature change by a morphism of spectral triples