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Bruhat-Tits theory of quasi-split groups
Multi angle
Authors : Rémy, Bertrand (Author of the conference)
CIRM (Publisher )
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 (Publisher )
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Abstract :
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
MSC Codes : 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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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 20/09/2019 Conference Date : 26/08/2019 Subseries : Research School arXiv category : Group Theory ; Algebraic Geometry Mathematical Area(s) : Algebra ; Lie Theory and Generalizations ; Number Theory Format : MP4 (.mp4) - HD Video Time : 01:34:47 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-07-26_Remy.mp4 
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Information on the Event
Event Title : Buildings and Affine Grassmannians / Immeubles et grassmanniennes affinesEvent Organizers : Fauquant-Millet, Florence ; Fedorov, Roman ; Gille, Philippe ; Loisel, Benoît ; Ressayre, Nicolas Dates : 26/08/2019 - 06/09/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/2067.html
Citation Data
DOI : 10.24350/CIRM.V.19558303Cite 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 |
See Also
- [Multi angle] Twisted Kac-Moody groups over the integers / Author of the conference Lourenço, João.
- [Multi angle] Point de vue de Berkovich sur l'immeuble et filtrations / Author of the conference Mayeux, Arnaud.
- [Post-edited] Descent in Bruhat-Tits theory / Author of the conference Prasad, Gopal.
- [Multi angle] Basics on affine Grassmanianns / Author of the conference Richarz, Timo.
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