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H 1 Inductive limit which appears in Lagrangian Floer theory

Auteurs : Fukaya, Kenji (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : For a given symplectic manifold and a finite set of Lagrangian submanifolds which intersect transversally each other we can construct an $A_{\infty }$-category. When we consider Lagrangian submanifolds which are not necessary intersect transversally there are issues to perform such a construction. In this talk I want to explain a way to study this situation. It can be used to compose Lagrangian correspondences without assuming transversality.

    Keywords : Floer homology; Morse homotopy; A infinite category; Gromov-Hausdorff distance

    Codes MSC :
    18G99 - None of the above but in this section
    53D40 - Floer homology and cohomology, symplectic aspects
    57R99 - None of the above but in this section


      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 17/05/2021
      Date de captation : 27/04/2021
      Sous collection : Research School
      Format : MP4
      arXiv category : Symplectic Geometry ; Differential Geometry ; Geometric Topology ; Category Theory
      Domaine : Algebra ; Analysis and its Applications ; Mathematical Physics ; Topology ; Geometry ; Dynamical Systems & ODE
      Durée : 00:55:18
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2021-04-27_Fukaya.mp4

    Informations sur la Rencontre Virtuelle

    Nom de la rencontre : From Hamiltonian Dynamics to Symplectic Topology
    Organisateurs de la rencontre : Damian, Mihai ; Hofer, Helmut ; Humilière, Vincent ; Oancea, Alexandru ; Vichery, Nicolas
    Dates : 26/04/2021 - 30/04/2021
    Année de la rencontre : 2021
    URL Congrès : https://conferences.cirm-math.fr/2558.html

    Citation Data

    DOI : 10.24350/CIRM.V.19750403
    Cite this video as: Fukaya, Kenji (2021). Inductive limit which appears in Lagrangian Floer theory.CIRM . Audiovisual resource. doi:10.24350/CIRM.V.19750403
    URI : http://dx.doi.org/10.24350/CIRM.V.19750403


    Voir aussi

    Bibliographie

    1. FUKAYA, Kenji. Gromov-Hausdorff convergence of filtered A infinity categories, in preparation. -

    2. FUKAYA, Kenji, OH, Yong-Geun, OHTA, Hiroshi, et al. Lagrangian intersection Floer theory: anomaly and obstruction, Part II. American Mathematical Soc., 2010. -

    3. FUKAYA, Kenji. Unobstructed immersed Lagrangian correspondence and filtered A infinity functor. arXiv preprint arXiv:1706.02131, 2017. - https://arxiv.org/abs/1706.02131

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