Abstract: The purpose of the lectures is to explain a few algebraic and complex analytic aspects of moduli spaces. We plan to explain a few problems related to moduli space of Riemann surface, such as metric properties, rigidity of mapping class groups and some results related to conjectures of Coleman and Oort. We are also going to explain the joint work with Wing-Keung To on various hyperbolicity questions and conjectures related to moduli space of polarized manifolds.

主持人：吴瑞聪