01:04:53
published on September 8, 2026
Persistence theory from a representation-theoretic perspective 2
By Thomas Brüstle
[1189] Local marked length spectrum rigidity
Appears in 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]
