TRR 358 - Spectral theory in higher rank and infinite volume (B02)
Overview
Spectral theory is a fundamental tool for the investigation of locally symmetric spaces which, in the classical context, usually have finite volume. Already for spaces real rank one, say quotients of the upper half plane by a discrete group of infinite covolume, very interesting and characteristic spectral phenomena happen. The case of higher rank spaces of infinite volume is largely unknown territory. This projects aims at initiating first steps in the study of their spectral properties.
DFG Programme CRC/Transregios
Subproject of TRR 358: Integral Structures in Geometry and Representation Theory
Applicant Institution Universit?t Bielefeld
Key Facts
- Grant Number:
- 491392403
- Project type:
- Research
- Project duration:
- 01/2023 - 12/2026
- Funded by:
- DFG
- Website:
-
DFG-Datenbank gepris
More Information
Publications
Wave Front Sets of Nilpotent Lie Group Representations
T. Weich, J. Budde, Journal of Functional Analysis 288 (2025).
The Schr?dinger equation with fractional Laplacian on hyperbolic spaces and homogeneous trees
G. Palmirotta, Y. Sire, J.-P. Anker, ArXiv:2412.00780 (2024).
Patterson-Sullivan and Wigner distributions of convex-cocompact hyperbolic surfaces
Show all publications
B. Delarue, G. Palmirotta, ArXiv:2411.19782 (2024).