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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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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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I discuss some results and conjectures on contact aspects of non-equilibrium thermodynamics. Joint with Michael Entov, Shin-itiro Goto, Shai Lerer, and Lenya Ryzhik.

82Cxx ; 53DXX ; 37Jxx

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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

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Persistence modules and Hamiltonian diffeomorphisms - Part 1 - 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

Contact topology and thermodynamics - 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 4 - Polterovich, Leonid (Auteur de la Conférence) | CIRM H Nouveau