Questions to discuss: * Is there a conflict of BICEP2 data with the PLANCK measurements on the relic gravitational waves generated during the Universe inflation? * Do sterile neutrinos with the mass about 0.5 eV really relax PLANCK constraints on both the amplitude of tensor modes of inhomogeneity and Hubble rate? * Why the dark matter particles are still not detected in conflict with direct expectations of cosmological models? * The baryogenesis is dead, the leptogenesis is prospective, isn't it? * Are there crucial astrophysical observational tests which can distinct between alternative cosmological models? * Is it possible that observations of the large scale spatial galaxy distribution will change the SCM paradigm? * How does Feynman's field gravity approach change predictions for observational effects in relativistic astrophysics?