摘 要
Diophatine geometry concerns, for example, integral or rational solutions of a set of polynomials over the field of rational numbers. The general philosophy is that the geometry governs arithmetic behavior. Another interesting aspect in Diophatine geometry is its correspondence with complex hyperbolicity via Vojta's dictionary which translates properties of rational points into properties of complex analytic curves. In this talk, we will introduce this correspondence and some results in both directions.