摘要：

The algebraic intersection form of Riemannian surfaces plays an important role in the comparison between the stable norm and the Hodge norm on the first homology group of the underlying surface. In the setting of hyperbolic surfaces, the algebraic intersection form is known to be unbounded and nonproper in the moduli space of hyperbolic surfaces. In this talk, we will show that the algebraic intersection form has a minimum in the moduli space and that the minimum grows in the order $(\log g)^{-2}$ in terms of the genus. We will also describe the asymptotic behavior in the moduli space. This is a joint work with Manman Jiang.