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H 1 Skeletons and moduli of Stokes torsors

Auteurs : Teyssier, Jean-Baptiste (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : In the local classification of differential equations of one complex variable, torsors under a certain sheaf of algebraic groups (the Stokes sheaf) play a central role. On the other hand, Deligne defined in positive characteristic a notion of skeletons for l-adic local systems on a smooth variety, constructed an algebraic variety parametrizing skeletons and raised the question wether every skeleton comes from an actual l-adic local system. We will explain how to use a variant of Deligne's skeleton conjecture in characteristic 0 to prove the existence of an algebraic variety parametrizing Stokes torsors. We will show how the geometry of this moduli can be used to prove new finiteness results on differential equations.

    Codes MSC :
    14F10 - Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
    32C38 - Sheaves of differential operators and their modules, D-modules

      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 24/04/17
      Date de captation : 11/04/17
      Sous collection : Research talks
      Format : MP4
      arXiv category : Algebraic Geometry
      Domaine : Analysis and its Applications ; Algebraic & Complex Geometry
      Durée : 00:59:43
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2017-04-11_Teyssier.mp4

    Informations sur la rencontre

    Nom de la rencontre : Hodge theory, Stokes phenomenon and applications / Théorie de Hodge, phénomène de Stokes et applications
    Organisateurs de la rencontre : Hertling, Claus ; Sabbah, Claude ; Sevenheck, Christian
    Dates : 10/04/17 - 14/04/17
    Année de la rencontre : 2017
    URL Congrès : http://conferences.cirm-math.fr/1585.html

    Citation Data

    DOI : 10.24350/CIRM.V.19158803
    Cite this video as: Teyssier, Jean-Baptiste (2017). Skeletons and moduli of Stokes torsors. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19158803
    URI : http://dx.doi.org/10.24350/CIRM.V.19158803

    Voir aussi


    1. Teyssier, J.-B. (2017). Skeletons and moduli of Stokes torsors. - https://arxiv.org/abs/1609.01559