Bourbaki - Janvier 2022

Collection Bourbaki - Janvier 2022

Date(s) 29/01/2022 - 29/01/2022
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[1189] Local marked length spectrum rigidity

By Ursula Hamenstädt

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]

Information about the video


  • Séminaire Bourbaki, 74ème année (2021-2022), n°1189, janvier 2022 PDF

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