After an introductory overview of standard results for perturbed black hole
s (regarding quasinormal modes and power-law tails) we focus on three issue
s of recent interest. We discuss the possibility that the new generation of
gravitational-wave detectors that are due to come online in the near futur
e will be able to do "black-hole spectrocopy" by inferring black-hole param
eters from quasinormal-mode signals. We summarise the recent effort to stud
y perturbation of Kerr black holes using time-evolutions of the Teukolsky e
quation, and finally we present recent results that seem to indicate the ex
istence of a new superradiance related phenomenon for rapidly spinning blac
k holes.