Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: Counting closed geodesics on hyperbolic surfaces I
Speaker: Barbara Schapira, Université Rennes 1
Date: November 9, 2020
Time: 16:00:00 Hours
Venue: AG-77
Abstract: In these talks, we will discuss the exponential growth rate of the number of closed geodesics of length at most $T$ on a compact hyperbolic surface, when $T$ goes to infinity. In a first large audience talk, I will introduce the context, some history of this kind of statement, and, if time allows, a few important ingredients of the proof. In a second talk, I will explain how to extend it on infinite volume surfaces, as proven in a recent work with S. Tapie. If time allows, I will briefly mention recent works allowing a description of the error term in this kind of asymptotics.
Title of Talk: Counting closed geodesics on hyperbolic surfaces I
Speaker: Barbara Schapira, Université Rennes 1
Date: November 9, 2020
Time: 16:00:00 Hours
Venue: AG-77
Abstract: In these talks, we will discuss the exponential growth rate of the number of closed geodesics of length at most $T$ on a compact hyperbolic surface, when $T$ goes to infinity. In a first large audience talk, I will introduce the context, some history of this kind of statement, and, if time allows, a few important ingredients of the proof. In a second talk, I will explain how to extend it on infinite volume surfaces, as proven in a recent work with S. Tapie. If time allows, I will briefly mention recent works allowing a description of the error term in this kind of asymptotics.