  We predict a strong enhancement of the critical temperature in a conventional
Bardeen-Cooper-Schrieffer (BCS) superconductor in the presence of a bosonic
condensate of exciton-polaritons. The effect depends strongly on the ratio of
the cutoff frequencies for phonon and exciton-polariton mediated BCS
superconductivity, respectively. We also discuss a possible design of hybrid
semiconductor-superconductor structures suitable for the experimental
observation of such an effect.
