讲座提要：

Let X be a compact hyperbolic surface. We can see that there is a constant C(X) such that the intersection number of the closed geodesics is bounded above by C(X) times the product of their lengths. Consider the optimum constant C(X). In this talk, we describe its asymptotic behavior in terms of systole, the length of a shortest closed geodesic on X.

主讲人介绍：

I am a fifth-year graduate student in mathematics at Harvard University. Performing research under the supervision of Curtis McMullen.