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Research schools;Exposés de recherche;Dynamical Systems and Ordinary Differential Equations;Geometry
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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- ix, 177 p.
ISBN 978-0-8218-4892-0
Contemporary mathematics , 0512
Localisation : Collection 1er étage
simplexes # difféomorphisme
57R17 ; 37J05 ; 28D05 ; 37A15
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Research schools;Dynamical Systems and Ordinary Differential Equations;Geometry
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
... Lire [+]
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
Research schools;Exposés de recherche;Dynamical Systems and Ordinary Differential Equations;Geometry
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
... Lire [+]
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
Research schools;Dynamical Systems and Ordinary Differential Equations;Geometry
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
... Lire [+]
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- 210 p.
ISBN 978-2-85629-140-5
Localisation : Biographie RdC (SCHWA)
Schwartz # biographie # histoire des mathématiques # théorie des distributions # application radonifiante # géométrie des espaces de Banach # école polytechnique # oeuvres complètes
01A70
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