Cosmology and the early Universe

The problems of cosmology and evolution of the early Universe are discussed. The main stages of evolution: quantum era, hadron era, lepton era are considered. A possibility of using the quantum theory in cosmology is noted. Attention is paid to an important result obtained in the frames of the quantum theory and gravity theory of black hole evaporation. Evaporation is significant for primary tlack holes (PBH). Cosmological significance of PBH in the light of successes of PBH evaporation theory is Pointed out