Black hole quasinormal modes and resonances

Many types of black hole respond to linear perturbations by ringing like a bell. The associated characteristic frequencies (known as quasinormal frequencies) are complex, representing behaviour that is both oscillatory and decaying. I will present recent work examining the related spectral problem for a large class of black holes. I will also connect these results to related problems in scattering on asymptotically hyperbolic manifolds.