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 Universität Bielefeld

Key Facts

Grant Number:
491392403
Project type:
Research
Project duration:
01/2023 - 12/2026
Funded by:
DFG
Website:
DFG-Datenbank gepris

More Information

Principal Investigators

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Prof. Dr. Tobias Weich

Institute of Mathematics

About the person
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Valentin Blomer

Universität Bonn

About the person (Orcid.org)

Cooperating Institutions

Universität Bielefeld

Cooperating Institution

Universität Bonn

Cooperating Institution

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Publications

Wave Front Sets of Nilpotent Lie Group Representations
T. Weich, J. Budde, Journal of Functional Analysis 288 (2025).
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