m

F Nous contacter


0
     
Multi angle

Multi angle Etale difference algebraic groups

Auteurs : Wibmer, Michael (Auteur de la Conférence)
CIRM (Editeur )

    Loading the player...

    Résumé : Difference algebraic groups, i.e, groups defined by algebraic difference equations occur naturally as the Galois groups of linear differential or difference equations depending on a discrete parameter. If the linear equation has a full set of algebraic solutions, the corresponding Galois group is an étale difference algebraic group. Like étale algebraic groups can be described as finite groups with a continuous action of the absolute Galois group of the base field, étale difference algebraic groups can be described as certain profinite groups with some extra structure. I will present a decomposition theorem for étale difference algebraic groups, which shows that any étale difference algebraic group can be build from étale algebraic groups and finite groups equipped with an endomorphism.

    Codes MSC :
    12H10 - Difference algebra [See also 39Axx]
    14L15 - Group schemes

      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 23/04/15
      Date de captation : 09/04/15
      Collection : Research talks
      Format : quicktime ; audio/x-aac
      Durée : 00:49:46
      Domaine : Algebraic & Complex Geometry ; Algèbre
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : http://videos.cirm-math.fr/2015-04-09_Wibmer.mp4

    Informations sur la rencontre

    Nom du congrès : Model Theory, Difference/Differential Equations and Applications / Théorie des modèles, équations différentielles et aux différences et applications
    Organisteurs Congrès : Beyarslan, Özlem ; Hils, Martin ; Martin-Pizarro, Amador
    Dates : 07/04/15 - 10/04/15
    Année de la rencontre : 2015
    URL Congrès : http://conferences.cirm-math.fr/1194.html

    Citation Data

    DOI : 10.24350/CIRM.V.18746403
    Cite this video as: Wibmer, Michael (2015). Etale difference algebraic groups. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18746403
    URI : http://dx.doi.org/10.24350/CIRM.V.18746403


    Bibliographie

    1. Di Vizio, L., Hardouin, C., Wibmer, M. (2014). Difference Galois theory of linear differential equations. Advances in Mathematics, 260, 1-58 - http://dx.doi.org/10.1016/j.aim.2014.04.005

    2. Di Vizio, L., Hardouin, C., Wibmer, M. (2013). Difference algebraic relations among solutions of linear differential equations. - http://arxiv.org/abs/1310.1289

    3. Wibmer, M. (2014). Affine difference algebraic groups. - http://arxiv.org/abs/1405.6603

Z