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H 1 Bruhat-Tits theory of quasi-split groups

Auteurs : Rémy, Bertrand (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : The goal of this lecture is to present the construction of the Bruhat-Tits buildings attached to a quasi-split (that is admitting a Borel subgroup) semisimple group G defined over an henselian discretly valued field K and also the construction of the parahoric group schemes parametrized by the points of the buildings. The building part is [BT1] and the group scheme part corresponds to the four first sections of [BT2] but could also be treated by Yu's method [Y] namely by using Raynaud's theory of group schemes [BLR].

    Keywords : linear algebraic groups; buildings

    Codes MSC :
    20E42 - Groups with a $BN$-pair; buildings, See also {51E24}
    20G15 - Linear algebraic groups over arbitrary fields
    51E24 - Buildings and the geometry of diagrams

      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 20/09/2019
      Date de captation : 26/08/2019
      Collection : Research schools ; Algebra ; Lie Theory and Generalizations ; Number Theory
      Format : MP4
      Durée : 01:34:47
      Domaine : Algebra ; Lie Theory and Generalizations ; Number Theory
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2019-07-26_Remy.mp4

    Informations sur la rencontre

    Nom de la rencontre : Buildings and Affine Grassmannians / Immeubles et grassmanniennes affines
    Organisateurs de la rencontre : Fauquant-Millet, Florence ; Fedorov, Roman ; Gille, Philippe ; Loisel, Benoît ; Ressayre, Nicolas
    Dates : 26/08/2019 - 06/09/2019
    Année de la rencontre : 2019
    URL Congrès : https://conferences.cirm-math.fr/2067.html

    Citation Data

    DOI : 10.24350/CIRM.V.19558303
    Cite this video as: Rémy, Bertrand (2019). Bruhat-Tits theory of quasi-split groups. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19558303
    URI : http://dx.doi.org/10.24350/CIRM.V.19558303

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