H 2 Persistence modules and Hamiltonian diffeomorphisms - Part 1

Auteurs : Polterovich, Leonid (Auteur de la Conférence)
CIRM (Editeur )

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persistence module Morse theory Floer theory Rips complex normal form theorem - barcode interleaving Question

Résumé : 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

Codes MSC :
37Cxx - Smooth dynamical systems: general theory [See also 34Cxx, 34Dxx]
37Jxx - Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems [See also 53Dxx, 70Fxx, 70Hxx]
53D25 - Geodesic flows
53D40 - Floer homology and cohomology, symplectic aspects
53D42 - Symplectic field theory; contact homology

    Informations sur la Vidéo

    Langue : Anglais
    Date de publication : 21/10/15
    Date de captation : 21/09/15
    Collection : Research schools ; Exposés de recherche ; Dynamical Systems and Ordinary Differential Equations ; Geometry
    Format : QuickTime (.mov) Durée : 00:50:55
    Domaine : Geometry ; Dynamical Systems & ODE
    Audience : Chercheurs ; Doctorants , Post - Doctorants
    Download : https://videos.cirm-math.fr/2015-09-21_Polterovich_part1.mp4

Informations sur la rencontre

Nom de la rencontre : Jean-Morlet Chair - Doctoral school: Elliptic Methods and Moduli Spaces / Chaire Jean-Morlet - Ecole doctorale : Méthodes elliptiques et espaces de modules
Organisateurs de la rencontre : Cornea, Octav ; Frauenfelder, Urs ; Lalonde, François ; Viterbo, Claude ; Teleman, Andrei
Dates : 21/09/15 - 25/09/15
Année de la rencontre : 2015
URL Congrès : http://lalondeteleman.weebly.com/doctora...

Citation Data

DOI : 10.24350/CIRM.V.18839803
Cite this video as: Polterovich, Leonid (2015). Persistence modules and Hamiltonian diffeomorphisms - Part 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18839803
URI : http://dx.doi.org/10.24350/CIRM.V.18839803

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