59:12
publiée le 24 octobre 2025
Problèmes ouverts et progrès récents en géométrie spectrale hyperbolique
De Frédéric Naud
[1189] Local marked length spectrum rigidity
Apparaît dans la collection : Bourbaki - Janvier 2022
The marked length spectrum rigidity question asks whether two closed negatively curved manifolds $M$, $N$ are isometric if they are homeomorphic with a homeomorphism which maps a closed geodesic on $M$ to a curve on $N$ which is freely homotopic to a closed geodesic of the same length. The lecture discusses the work of Guillarmou and Lefeuvre who used novel tools from microlocal analysis to give an affirmative answer to a local version of this question.
[After Colin Guillarmou and Thibault Lefeuvre]
