Buildings and Affine Grassmannians / Immeubles et grassmanniennes affines

Collection Buildings and Affine Grassmannians / Immeubles et grassmanniennes affines

Organizer(s) Fauquant-Millet, Florence ; Fedorov, Roman ; Gille, Philippe ; Loisel, Benoît ; Ressayre, Nicolas
Date(s) 26/08/2019 - 06/09/2019
linked URL https://conferences.cirm-math.fr/2067.html
00:00:00 / 00:00:00
2 5

Bruhat-Tits theory of quasi-split groups

By Bertrand Rémy

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].

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Citation data

  • DOI 10.24350/CIRM.V.19558303
  • Cite this video Rémy, Bertrand (26/08/2019). Bruhat-Tits theory of quasi-split groups. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19558303
  • URL https://dx.doi.org/10.24350/CIRM.V.19558303

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