Microlocal methods for Anosov flows - Part 1 | Vidéo | Carmin.tv

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Microlocal methods for Anosov flows - Part 1

By Colin Guillarmou

Appears in collection : Anosov Dynamics / La dynamique des sytèmes d'Anosov

We will introduce some tools from analysis (in particular microlocal analysis) in order to understand the Fredholm theory of Anosov flows. We will then explain how these tools can be used to study a rigidity problem consisting in determining a Riemannian metric from the lengths of its marked closed geodesics, and we will describe a variational approach to study this problem locally near a fixed negatively curved Riemannian metric on a closed manifold.

Information about the video

Date of recording 11/04/2023
Date of publication 02/05/2023
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Jean Petit
Format MP4

Citation data

DOI 10.24350/CIRM.V.20036203
Cite this video Guillarmou, Colin (11/04/2023). Microlocal methods for Anosov flows - Part 1. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20036203
URL https://dx.doi.org/10.24350/CIRM.V.20036203

Domain(s)

Bibliography

BONTHONNEAU, Yannick Guedes, GUILLARMOU, Colin, HILGERT, Joachim, et al. Ruelle-Taylor resonances of Anosov actions. arXiv preprint arXiv:2007.14275, 2020. - https://doi.org/10.48550/arXiv.2007.14275

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