题目： Algebraic intersection for hyperbolic surfaces

报告人：潘会平（华南理工大学）

时间：5月7日14：00

腾讯会议：600-3929-5239

https://meeting.tencent.com/dm/Ji5zXJqWY1VB

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 surfaces。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.