En poursuivant votre navigation sur ce site, vous acceptez l'utilisation d'un simple cookie d'identification. Aucune autre exploitation n'est faite de ce cookie. OK

- Français
Manage my selections

s
z
Destination de la recherche
- Current selection
- All tables
- Documents
- In all fields
Raccourcis
- Advanced search

Audiovisual Mathematics Library

Audiovisual Mathematics Library

Bookmarks Report an error

Multi angle

Authors : Gogolev, Andrey (Author of the conference)
CIRM (Publisher )

Loading the player...

Abstract : A dynamical system is called rigid if a weak form of equivalence with a nearby system, such as coincidence of some simple invariants, implies a strong form of equivalence. In this minicourse we will discuss smooth rigidity of hyperbolic dynamical systems and related geometric questions such as marked length spectrum rigidity of negatively curved manifolds. We will consider the following moduli: lengths of periodic orbits, spectra of Poincar\'e return maps of the periodic orbits, volume Lyapunov exponents. After a brief overview of some classical results we will focus on recent developments in rigidity of Anosov and partially hyperbolic systems as well as connections to geometric rigidity. The latter is based on joint work with B. Kalinin and V. Sadovskaya and with F. Rodriguez Hertz.

Keywords : Anosov diffeomorphisms; Anosov flows; partially hyperbolic; marked length spectrum rigidity; rigidity

MSC Codes :
37D20 - Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.)

Additional resources :
https://www.cirm-math.fr/RepOrga/1947/Notes/Gogolyev-Rigidity-notes1.pdf

Information on the Video

Film maker :

Hennenfent, Guillaume

Language :

Available date :

Conference Date :

Subseries :

arXiv category :

Mathematical Area(s) :

Format :

Video Time :

Targeted Audience :

Download :

https://videos.cirm-math.fr/2019-05-13_Gogolev_Part1.mp4

Information on the Event

Event Title : Dynamique au-delà de l'hyperbolicité uniforme / Dynamics Beyond Uniform Hyperbolicity
Event Organizers : Bonatti, Christian ; Buzzi, Jérôme ; Crovisier, Sylvain ; Gan, Shaobo ; Pacifico, Maria José
Dates : 13/05/2019 - 24/05/2019
Event Year : 2019
Event URL : https://conferences.cirm-math.fr/1947.html

Citation Data

DOI : 10.24350/CIRM.V.19526403
Cite this video as: Gogolev, Andrey (2019). Rigidity in rank one: dynamics and geometry - lecture 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19526403
URI : http://dx.doi.org/10.24350/CIRM.V.19526403

See Also

[Multi angle] Ergodic optimization - lecture 3 / Author of the conference Contreras, Gonzalo.
[Multi angle] Ergodic optimization - lecture 2 / Author of the conference Contreras, Gonzalo.
[Multi angle] Ergodic optimization - lecture 1 / Author of the conference Contreras, Gonzalo.
[Multi angle] Some new dynamical applications of smooth parametrizations for C∞ systems - lecture 3 / Author of the conference Burguet, David.
[Multi angle] Some new dynamical applications of smooth parametrizations for C∞ systems - lecture 2 / Author of the conference Burguet, David.
[Multi angle] Some new dynamical applications of smooth parametrizations for C∞ systems - lecture 1 / Author of the conference Burguet, David.
[Multi angle] Rigidity in rank one: dynamics and geometry - lecture 3 / Author of the conference Gogolev, Andrey.
[Multi angle] Rigidity in rank one: dynamics and geometry - lecture 2 / Author of the conference Gogolev, Andrey.
[Multi angle] Big mapping class groups - lecture 5 / Author of the conference Calegari, Danny.
[Multi angle] Big mapping class groups - lecture 4 / Author of the conference Calegari, Danny.
[Multi angle] Big mapping class groups - lecture 3 / Author of the conference Calegari, Danny.
[Multi angle] Big mapping class groups - lecture 2 / Author of the conference Calegari, Danny.
[Multi angle] Big mapping class groups - lecture 1 / Author of the conference Calegari, Danny.
[Multi angle] Beyond Bowen specification property - lecture 3 / Author of the conference Thompson, Daniel J..
[Multi angle] Beyond Bowen specification property - lecture 2 / Author of the conference Thompson, Daniel J..
[Multi angle] Beyond Bowen specification property - lecture 1 / Author of the conference Thompson, Daniel J..
[Multi angle] Beyond Bowen specification property - lecture 3 / Author of the conference Climenhaga, Vaughn.
[Multi angle] Beyond Bowen specification property - lecture 2 / Author of the conference Climenhaga, Vaughn.
[Multi angle] Beyond Bowen specification property - lecture 1 / Author of the conference Climenhaga, Vaughn.
[Multi angle] Additive combinatorics methods in fractal geometry - lecture 3 / Author of the conference Varju, Peter.
[Multi angle] Additive combinatorics methods in fractal geometry - lecture 2 / Author of the conference Varju, Peter.
[Multi angle] Additive combinatorics methods in fractal geometry - lecture 1 / Author of the conference Varju, Peter.
[Multi angle] Additive combinatorics methods in fractal geometry - lecture 3 / Author of the conference Shmerkin, Pablo.
[Multi angle] Additive combinatorics methods in fractal geometry - lecture 2 / Author of the conference Shmerkin, Pablo.
[Multi angle] Additive combinatorics methods in fractal geometry - lecture 1 / Author of the conference Shmerkin, Pablo.
[Multi angle] Transfer operators for Anosov flows - lecture 3 / Author of the conference Tsuijii, Masato.
[Multi angle] Transfer operators for Anosov flows - lecture 2 / Author of the conference Tsuijii, Masato.
[Multi angle] Transfer operators for Anosov flows - lecture 1 / Author of the conference Tsuijii, Masato.
[Multi angle] Transfer operators for Sinai billiards - lecture 3 / Author of the conference Baladi, Viviane.
[Multi angle] Transfer operators for Sinai billiards - lecture 2 / Author of the conference Baladi, Viviane.
[Multi angle] Transfer operators for Sinai billiards - lecture 1 / Author of the conference Baladi, Viviane.

Bibliography

Bookmarks Report an error

© Powered by Kentika

2024