Scientific Calendar Event



Starts 10 Dec 2020 14:00
Ends 10 Dec 2020 16:00
Central European Time
Zoom event
Lectures 4 and 5: Counting the closed geodesics

Abstract: In these two lectures we prove a Margulis-type asymptotic estimate for the number of free homotopy classes of closed geodesics. This can be seen as the prime geodesic theorem in this setting of surfaces without conjugate points.


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References: [1] V. Climenhaga, G. Knieper, K. War, Uniqueness of the measure of maximal entropy for geodesic flow on certain manifolds without conjugate points. Accepted for publication in Advances in Mathematics. [2] V. Climenhaga, G. Knieper, K. War, Closed geodesic on surfaces without conjugate points. Preprint. [3] G. Knieper, Differentialgeometrie, Lecture notes.