English
Bruhat-Tits theory of quasi-split groups
Multi angle
Auteurs : Rémy, Bertrand (Auteur de la Conférence)
CIRM (Editeur )
20E42 - Groups with a $BN$-pair; buildings, See also {51E24}
20G15 - Linear algebraic groups over arbitrary fields
51E24 - Buildings and the geometry of diagrams
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 : Keywords : linear algebraic groups; buildings
20E42 - Groups with a $BN$-pair; buildings, See also {51E24}
20G15 - Linear algebraic groups over arbitrary fields
51E24 - Buildings and the geometry of diagrams
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 20/09/2019 Date de captation : 26/08/2019 Sous collection : Research School arXiv category : Group Theory ; Algebraic Geometry Domaine : Algebra ; Lie Theory and Generalizations ; Number Theory Format : MP4 (.mp4) - HD Durée : 01:34:47 Audience : Researchers Download : https://videos.cirm-math.fr/2019-07-26_Remy.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Buildings and Affine Grassmannians / Immeubles et grassmanniennes affinesOrganisateurs 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
Données de citation
DOI : 10.24350/CIRM.V.19558303Citer cette vidéo: 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 |
Voir aussi
- [Multi angle] Twisted Kac-Moody groups over the integers / Auteur de la Conférence Lourenço, João.
- [Multi angle] Point de vue de Berkovich sur l'immeuble et filtrations / Auteur de la Conférence Mayeux, Arnaud.
- [ Post-edited] Descent in Bruhat-Tits theory / Auteur de la Conférence Prasad, Gopal.
- [Multi angle] Basics on affine Grassmanianns / Auteur de la Conférence Richarz, Timo.
Bibliographie
