ICTP MATH LECTURE SERIES ON DYNAMICS OF THE GEODESIC FLOW ON SURFACES WITHOUT CONJUGATE POINTS - Third Lecture TOMORROW - Series of 5 Lectures by Khadim War (IMPA)

[ICTP Math Section]

ICTP MATH LECTURE SERIES ON Dynamics of the geodesic flow on surfaces 
without conjugate points



Tuesady 8 December 2020 at 16:00 CET



Speaker: Khadim War (IMPA)



*Lecture 3: Some statistical properties of the geodesic flow.*


*Abstract:* In this lecture we will prove that the measure of maximal 
entropy constructed above is unique and therefore ergodic. We will also 
prove that the geodesic flow is mixing with respect to the measure of 
maximal entropy.


See below for information on next lectures.



Venue: Zoom Meetings


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*Lectures 4 and 5: Counting the closed geodesics.*

Date: Thursday 10 December from 15:00 to 17:00

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.



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.