Abstract：
　　In the past thirty years, a great many of strongly correlated electronic systems, including quantum Hall effect and high temperature superconductivity, have been discovered. They reveal extraordinary quantum effects and phenomena which cannot be accounted for in the conventional framework of condensed matter theory. Establishment and development of new models and methods for describing these novel phenomena and effects has been a great challenge in this field. In this talk I will give a brief introduction to the current status in the theoretical study of strongly correlated quantum phenomena, and then discuss about the recent progress in the quantum many body theory.