  We study the low-temperature limit of scalar perturbations of the
Kerr-AdS$_{5}$ black-hole for generic rotational parameters. We motivate the
study by considering real-time holography of small black hole backgrounds.
Using the isomonodromic technique, we show that corrections to the extremal
limit can be encoded in the monodromy parameters of the Painlev\'e V
transcendent, whose expansion is given in terms of irregular chiral conformal
blocks. After discussing the contribution of the intermediate states to the
quasi-normal modes, we perform a numerical analysis of the low-lying
frequencies. We find that the fundamental mode is perturbatively stable at low
temperatures for small black holes and that excited perturbations are
superradiant, as expected from thermodynamical considerations. We close by
considering the holographic interpretation of the unstable modes and the
decaying process.
