Spectral theory of automorphic forms: infinite co-volume - TU Darmstadt
tu-darmstadt.de
When a mathematical group has infinite co-volume, its spectral theory breaks from classical rules — and the fallout reshapes how we understand geometry, symmetry, and representation all at once.
Spectral TheoryRepresentation TheoryAutomorphic FormsHyperbolic Geometry
Theory Briefing
- Infinite co-volume subgroups defy classical spectral theory, forcing mathematicians to rebuild foundational tools from scratch.
- The spectrum of these groups links abstract automorphic forms to the concrete geometry of hyperbolic spaces.
- Representation theory enters as a unifying lens, revealing hidden symmetry structures governing infinite-volume systems.