Intersection number and intersection points of closed geodesics on hyperbolic surfaces

Seminar: 
Group Actions, Geometry and Dynamics
Event time: 
Monday, December 5, 2022 - 4:00pm
Location: 
LOM 206
Speaker: 
Tina Torkaman
Speaker affiliation: 
Harvard University
Event description: 

In this talk, I will talk about the (geometric) intersection number between closed geodesics on finite volume hyperbolic surfaces. Specifically, I will discuss the optimum upper bound on the intersection number in terms of the product of hyperbolic lengths. I also talk about the equidistribution of the intersection points between closed geodesics.