Project B2: Spectral theory in higher rank and infinite volume

Automorphic forms and joint resonances of the algebra of invariant differential operators on quotients of higher-rank symmetric spaces via thin arithmetic subgroups $\Gamma$ are the main objects of study of Project B2. Our approach is to apply harmonic analysis on higher rank symmetric spaces as well as geometric properties of their quotients in order to obtain results such as spectral gap estimates or absence of embedded eigenvalues.

Recent preprints: