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H 1 Basics on affine Grassmanianns

Auteurs : Richarz, Timo (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : The aim is to give an introduction to the basic theory of affine Grassmannians and affine flag varieties. We put special emphasis on the utility of dynamic methods in sense of Drinfeld [D], and the utility of non-constant group schemes. We plan to adress the following aspects:
    • Affine Grassmannians as moduli spaces of G-bundles, and as quotients of loop groups ;
    • Cell decompositions of affine Grassmannians and affine flag varieties via dynamic methods: Iwahori, Cartan and Iwasawa decompositions ;
    • Schubert varieties, Demazure resolutions, Convolution morphisms, Combinatorial structures ;
    • Moduli spaces of G-bundles with level structure versus bundles under non-constant group schemes ;
    • Beilinson-Drinfeld type deformations of affine Grassmannians ;
    • Relation to the local geometry of moduli spaces of Drinfeld shtukas and Shimura varieties.

    Keywords : algebraic geometry; Grassmanianns

    Codes MSC :
    14M15 - Grassmannians, Schubert varieties, flag manifolds
    14D24 - Geometric Langlands program: algebro-geometric aspects

      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 20/09/2019
      Date de captation : 26/08/2019
      Collection : Research schools ; Algebraic and Complex Geometry ; Number Theory
      Format : MP4
      Durée : 01:36:05
      Domaine : Algebraic & Complex Geometry ; Number Theory
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2019-08-26_Richarz.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.19558903
    Cite this video as: Richarz, Timo (2019). Basics on affine Grassmanianns. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19558903
    URI : http://dx.doi.org/10.24350/CIRM.V.19558903


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