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On the minimal entropy problem of geometric 3-manifolds

Hamza Ounesli
Friday, January 15, 2021 - 11:00 to 12:00

One of the main intersections of dynamical systems and geometry is the study of geodesic flows of Riemmannian manifolds. In this seminar we will discuss the existence of metrics minimizing topological entropy of a specific class of 3-manifolds.More precisely, we will start by introducing the notions of geodesic flow and topological entropy, then we will sketch a proof of a necessary and sufficient condition so that the minimal entropy problem of a closed orientable 3-manifolds admitting a geometric structure modelled on one of the 8 geometries can be solved. 

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