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The Humilière completion and some applications

By Claude Viterbo

Appears in collection : From smooth to $C^{0}$ symplectic geometry: topological aspects and dynamical implications / Géométrie symplectique de lisse à $C^{0}$: aspects topologiques et implications dynamiques

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.

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Citation data

  • DOI 10.24350/CIRM.V.20068803
  • Cite this video Viterbo, Claude (06/07/2023). The Humilière completion and some applications. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20068803
  • URL https://dx.doi.org/10.24350/CIRM.V.20068803

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) -

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