01:41:01
publiée le 27 juin 2025
Exploring the High-dimensional Random Landscapes of Data Science (3/3)
De Gérard Ben Arous
[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]
