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Theory of persistence modules is a rapidly developing field lying on the borderline between algebra, geometry and topology. It provides a very useful viewpoint at Morse theory, and at the same time is one of the cornerstones of topological data analysis. In the course I'll review foundations of this theory and focus on its applications to symplectic topology. In parts, the course is based on a recent work with Egor Shelukhin arXiv:1412.8277

37Cxx ; 37Jxx ; 53D25 ; 53D40 ; 53D42

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Déposez votre fichier ici pour le déplacer vers cet enregistrement.

Theory of persistence modules is a rapidly developing field lying on the borderline between algebra, geometry and topology. It provides a very useful viewpoint at Morse theory, and at the same time is one of the cornerstones of topological data analysis. In the course I'll review foundations of this theory and focus on its applications to symplectic topology. In parts, the course is based on a recent work with Egor Shelukhin arXiv:1412.8277

37Cxx ; 37Jxx ; 53D25 ; 53D40 ; 53D42

Sélection Signaler une erreur

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

Theory of persistence modules is a rapidly developing field lying on the borderline between algebra, geometry and topology. It provides a very useful viewpoint at Morse theory, and at the same time is one of the cornerstones of topological data analysis. In the course I'll review foundations of this theory and focus on its applications to symplectic topology. In parts, the course is based on a recent work with Egor Shelukhin arXiv:1412.8277

37Cxx ; 37Jxx ; 53D25 ; 53D40 ; 53D42

Sélection Signaler une erreur

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

Theory of persistence modules is a rapidly developing field lying on the borderline between algebra, geometry and topology. It provides a very useful viewpoint at Morse theory, and at the same time is one of the cornerstones of topological data analysis. In the course I'll review foundations of this theory and focus on its applications to symplectic topology. In parts, the course is based on a recent work with Egor Shelukhin arXiv:1412.8277

37Cxx ; 37Jxx ; 53D25 ; 53D40 ; 53D42

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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.

53D12

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Documents Viterbo, Claude 5 résultats

Persistence modules and Hamiltonian diffeomorphisms - Part 1 - Polterovich, Leonid (Auteur de la Conférence) | CIRM H Nouveau

Persistence modules and Hamiltonian diffeomorphisms - Part 2 - Polterovich, Leonid (Auteur de la Conférence) | CIRM H Nouveau

Persistence modules and Hamiltonian diffeomorphisms - Part 3 - Polterovich, Leonid (Auteur de la Conférence) | CIRM H Nouveau

Persistence modules and Hamiltonian diffeomorphisms - Part 4 - Polterovich, Leonid (Auteur de la Conférence) | CIRM H Nouveau

The Humilière completion and some applications - Viterbo, Claude (Auteur de la Conférence) | CIRM H Nouveau