Counting closed geodesics under intersection constraints

Abstract: On a closed negatively curved surface, Margulis gave the asymptotic growth of the number of closed geodesics of bounded length, when the bound goes to infinity. In this talk, I will present a similar asymptotic result for closed geodesics for which certain intersection numbers — with a given family of pairwise disjoint simple closed geodesics — are prescribed. This result is obtained by considering the transfer operator of a dynamical scattering map related to the surface (with boundary) obtained by cutting our original surface along the simple curves.

WEB SITE:  http://www.crm.sns.it/course/6278/

Those who are unable to be physically present may attend the talk via Zoom by following the link: https://us02web.zoom.us/j/83965821067?pwd=YU9MRHVVMlRQMXZycjVzVGR3VmlXZz09