  Thermally induced magnetization dynamics is currently a flourishing field of
research due to its potential application in information technology. We study
the paradigmatic system of a magnetic domain wall in a thermal gradient which
is interacting with an adjacent superconductor. The spin-transfer torques
arising in this system due to the combined action of the giant thermoelectric
effect and the creation of equal-spin pairs in the superconductor are large
enough to give rise to high domain wall velocities $10^3$ times larger than
previously predicted.
