  Strong electron-phonon interactions in cuprates and other high-temperature
superconductors have gathered support over the last decade in a large number of
experiments. Here I briefly introduce the Froehlich-Coulomb multi-polaron model
of high-temperature superconductivity, which includes strong on-site repulsive
correlations and the long-range Coulomb and electron-phonon (e-ph)
interactions. Our extension of the BCS theory to the strong-coupling regime
with the long-range \emph{unscreened} electron-phonon interaction could
naturally explain the isotope effects, unconventional thermomagnetic transport,
and checkerboard modulations of the tunnelling density of states in cuprates.
