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

3 5

Chapters

Descent in Bruhat-Tits theory

By Gopal Prasad

Bruhat-Tits theory applies to a semisimple group G, defined over an henselian discretly valued field K, such that G admits a Borel K-subgroup after an extension of K. The construction of the theory goes then by a deep Galois descent argument for the building and also for the parahoric group scheme. In the case of unramified extension, that descent has been achieved by Bruhat-Tits at the end of [BT2]. The tamely ramified case is due to G. Rousseau [R]. Recently, G. Prasad found a new way to investigate the descent part of the theory. This is available in the preprints [Pr1, Pr2] dealing respectively with the unramified case and the tamely ramified case. It is much shorter and the method is based more on fine geometry of the building (e.g. galleries) than algebraic groups techniques.

Information about the video

Date of recording 28/08/2019
Date of publication 20/09/2019
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19559103
Cite this video Prasad, Gopal (28/08/2019). Descent in Bruhat-Tits theory. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19559103
URL https://dx.doi.org/10.24350/CIRM.V.19559103

Domain(s)

Group Theory

Bibliography

PRASAD, Gopal. A new approach to unramified descent in Bruhat-Tits theory. arXiv preprint arXiv:1611.07430, 2016. - https://arxiv.org/abs/1611.07430

MSC codes

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