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The Humilière completion and some applications
Multi angle
Authors : Viterbo, Claude (Author of the conference)
CIRM (Publisher )
53D12 - Lagrangian submanifolds - Maslov index
CIRM (Publisher )
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Abstract :
We shall explain some results in the study of the completion of the space of Lagrangians for the spectral distance and give some applications among conformal dynamics, singular Hamiltonian systems and connections with sheaf theory.
Keywords : lagrangian submanifolds; symplectic topology
MSC Codes : Keywords : lagrangian submanifolds; symplectic topology
53D12 - Lagrangian submanifolds - Maslov index
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Information on the Video
Film maker : Petit, JeanLanguage : English Available date : 21/07/2023 Conference Date : 06/07/2023 Subseries : Research talks arXiv category : Symplectic Geometry Mathematical Area(s) : Dynamical Systems & ODE ; Geometry Format : MP4 (.mp4) - HD Video Time : 01:06:01 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-07-06_VITERBO_1.mp4 
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Information on the Event
Event Title : From smooth to $C^{0}$ symplectic geometry: topological aspects and dynamical implications / Géométrie symplectique de lisse à $C^{0}$: aspects topologiques et implications dynamiquesEvent Organizers : Benedetti, Gabriele ; Humilière, Vincent ; Leclercq, Rémi ; Sandon, Sheila ; Seyfaddini, Sobhan Dates : 03/07/2023 - 07/07/2023 Event Year : 2023 Event URL : https://conferences.cirm-math.fr/2759.html
Citation Data
DOI : 10.24350/CIRM.V.20068803Cite this video as: Viterbo, Claude (2023). The Humilière completion and some applications. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20068803 URI : http://dx.doi.org/10.24350/CIRM.V.20068803 |
See Also
- [Multi angle] Contact topology and thermodynamics / Author of the conference Polterovich, Leonid.
- [Multi angle] Symplectic mapping class groups: structural properties from smooth to $C^{0}$ / Author of the conference Keating, Ailsa.
- [Multi angle] The spectral norm, rigidity and all that / Author of the conference Gurel, Basak.
- [Multi angle] Symplectic capacities of domains close to the ball and quasi-invariant contact forms / Author of the conference Abbondandolo, Alberto.
Bibliography
- VITERBO, Claude. On the supports in the Humili\ere completion and $\gamma $-coisotropic sets (with an Appendix joint with Vincent Humili\ere). arXiv preprint arXiv:2204.04133, 2022. - https://doi.org/10.48550/arXiv.2204.04133
- GUILLERMOU, Stéphane et VITERBO, Claude. The singular support of sheaves is $\gamma $-coisotropic. arXiv preprint arXiv:2203.12977, 2022. - https://doi.org/10.48550/arXiv.2203.12977
- ARNAUD, M.C., HUMILIERE, V. et VITERBO, Claude. Higher dimensional Birkoff attractors (in preparation) -
