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Documents  Cornea, Octav | enregistrements trouvés : 6

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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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- xiv; 462 p.
ISBN 978-1-4020-4272-0

Nato science series

théorie de Morse # système non linéaire # topologie symplectique # topologie de contact # homologie de Floer # topologie des cordes # fonction génératrice # difféomorphisme hamiltonien

58-06 ; 57-06 ; 53-06 ; 00B25

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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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- 330 p.
ISBN 978-0-8218-3404-6

Mathematical surveys and monographs , 0103

Localisation : Collection 1er étage

topologie algébrique # cathégorie de Lusternik-Schnirelmann # homotopie rationnelle # invariant de Hopf # topologie symplectique # point critique # théorie des indexes # variété symplectique

55M30 ; 55P62 ; 55Q25 ; 57R17 ; 58E05 ; 37B30 ; 53D35

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