Resonances for non-compact locally symmetric spaces

• Applicant: Dr. Benjamin Delarue
• Subject Area: Mathematics
• Term: since 2020
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 441786816

The goal of the proposed project is the generalization of the notion of dynamical resonances, also called Pollicott-Ruelle resonances, to a reasonable class of non-compact locally symmetric spaces of higher rank. We will especially focus on spaces arising as quotients from so-called Anosov representations. Those spaces feature a particularly interesting geometry at infinity.

• DFG Programme: Priority Programmes
• Subproject of: SPP 2026: Geometry at Infinity