of which has local interactions in time and logarithmic interactions in space and the other which has local interactions in space and logarithmic interaction in time. The general class of microscopic models where such properties hold for the qcf is not known; it appears em- pirically to contains the microscopic models that describe the Heavy-fermions and possibly the Pnictides and the valence skippers. This is an exciting new development in the study of critical fluctuations which needs further thought and work, both experimental and theoret- ical. The case of the valence skipper Ba$_{x}$K$_{1}$$_{−}$$_{x}$BiO$_{3}$ is discussed as it appears to be an electron- ically induced s-wave superconductor. Valence skippers have e-e induced pre-formed s-wave Cooper pairs in the normal state. Superconductivity consists in obtaining phase coherence of such pairs. There is some evidence, for which there is no theoretical understanding, that their fluctuation spectra is similar to that in the Cuprates. If so, not only is inelastic scat- tering not very deleterious, the normal self-energy from virtual processes is not as hurtful as in finite ℓ pairing. To my mind discovery of other valence skippers with higher electronic densities hold the best promise of further increase of T$_{c}$ . The question is often asked, is room temperature superconductivity possible? The fact that we are only a factor of 2 away in Cuprates and we have not progressed beyond that in the past 15 years is both promising and depressing. My answer however is yes, and that the best prospects for reasons given in this paper are for electronically induced s-wave superconductors. The upper limit for T$_{c}$/E$_{f}$ is provided by the results on the attractive dilute Hubbard model near unitarity, which as reviewed here is ≈ 0 . 15. I can only hope that, for purposes of large scale applications, this will happen in material classes which are three-dimensional, malleable in their bulk form and easy to fabricate. Soon after BCS theory, Eliashberg [2] used the field theory methodology developed for superconductivity by Gorkov [11] to formulate the theory of superconductivity to include the frequency dependence of the effective interactions through exchange of phonons. This theory is valid if ( λω$_{c}$/W ) << 1. The physical content of this limit is the Migdal theorem which proves that the vertex corrections in the theory of electron-phonon interactions are of O ( λω$_{c}$/W ) compared to the leading dimensionless vertex λ . 11 II. THEORY OF PAIRING SYMMETRIES AND OF T$_{c}$