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H 1 Studying affine Deligne Lusztig varieties via folded galleries in buildings

Auteurs : Schwer, Petra (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : We present a new approach to affine Deligne Lusztig varieties which allows us to study the so called "non-basic" case in a type free manner. The central idea is to translate the question of non-emptiness and the computation of the dimensions of these varieties into geometric questions in the Bruhat-Tits building. All boils down to understand existence of certain positively folded galleries in affine Coxeter complexes. To do so, we explicitly construct such galleries and use, among other techniques, the root operators introduced by Gaussent and Littelmann to manipulate them.

    Keywords : affine Deligne Lusztig varieties; Coxeter groups; Combinatorics; folded galleries

    Codes MSC :
    14L30 - Group actions on varieties or schemes (quotients)
    14M15 - Grassmannians, Schubert varieties, flag manifolds
    20G05 - Representation theory of linear algebraic groups

      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 13/09/2016
      Date de captation : 01/09/2016
      Collection : Research talks
      Format : MP4
      Durée : 01:00:33
      Domaine : Algèbre ; Combinatorics
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2016-09-01_Schwer.mp4

    Informations sur la rencontre

    Nom du congrès : Algebraic Combinatorics in Representation Theory / Combinatoire algébrique en théorie des représentations
    Organisteurs Congrès : Beck, Vincent ; Hernandez, David ; Jacon, Nicolas ; Littelmann, Peter
    Dates : 29/08/2016 - 02/09/2016
    Année de la rencontre : 2016
    URL Congrès : http://conferences.cirm-math.fr/1490.html

    Citation Data

    DOI : 10.24350/CIRM.V.19042303
    Cite this video as: Schwer, Petra (2016). Studying affine Deligne Lusztig varieties via folded galleries in buildings. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19042303
    URI : http://dx.doi.org/10.24350/CIRM.V.19042303


    Voir aussi

    Bibliographie

    1. Elizabeth Milicevic, Petra Schwer, Anne Thomas - Dimensions of affine Deligne-Lusztig varieties: a new approach via labeled folded alcove walks and root operators - 2015 - http://arxiv.org/abs/1504.07076

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