Binary systems thought to contain an accreting, stellar-mass black hole and a less evolved donor star occasionally exhibit rapid variability, at frequencies of roughly ~50-450 Hz. These `high-frequency, quasi-periodic oscillations' (HFQPOs) attract significant theoretical interest because their frequencies appear to be set by the intrinsic properties of the accreting black hole. However, HFQPOs remain poorly understood, despite more than 20 years of observations by the Rossi X-Ray Timing Explorer and more recent X-ray observatories. In this talk, I will discuss one explanation for HFQPOs, namely the excitation of `diskoseismic' oscillations in the inner regions of a black hole accretion disk. In addition to an introduction to diskoseismology, I will describe recent analytical and numerical results related to a particular family of trapped waves, which can be excited when the inner regions of a relativistic accretion flow becomes sufficiently eccentric and/or warped.
