English
On the general linear group over arithmetic orders and corresponding cohomology groups
Post-edited
Auteurs : Schwermer, Joachim (Auteur de la conférence)
CIRM (Editeur )
11F55 - Groups and their modular and automorphic forms (several variables)
11F75 - Cohomology of arithmetic groups
CIRM (Editeur )
Résumé :
Orders in finite-dimensional algebras over number fi give rise to interesting locally symmetric spaces and algebraic varieties. Hilbert modular varieties or arithmetically defined hyperbolic 3-manifolds, compact ones as well as noncompact ones, are familiar examples. In this talk we discuss various cases related to the general linear group $GL(2)$ over orders in division algebras defined over some number field. Geometry, arithmetic, and the theory of automorphic forms are interwoven in a most fruitful way in this work. Finally we indicate a construction of non-vanishing square-integrable cohomology classes for such arithmetically defined groups.
Mots-Clés : arithmetic groups; cohomology of groups; automorphic forms; Hilbert modular varieties
Codes MSC : Mots-Clés : arithmetic groups; cohomology of groups; automorphic forms; Hilbert modular varieties
11F55 - Groups and their modular and automorphic forms (several variables)
11F75 - Cohomology of arithmetic groups
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de Publication : 17/04/2019 Date de Captation : 27/03/2019 Sous Collection : Research talks Catégorie arXiv : Number Theory Domaine(s) : Théorie des Nombres Format : MP4 (.mp4) - HD Durée : 01:02:12 Audience : Chercheurs Download : https://videos.cirm-math.fr/2019-03-27_Schwermer.mp4 
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Informations sur la Rencontre
Nom de la Rencontre : Cohomology of arithmetic groups, lattices and number theory: geometric and computational viewpoint / Cohomologie des groupes arithmétiques, réseaux et théorie des nombres: géométries et calculsOrganisateurs de la Rencontre : Bayer-Fluckiger, Eva ; Elbaz-Vincent, Philippe ; Ellis, Graham ; Gunnels, Paul Dates : 25/03/2019 - 29/03/2019 Année de la rencontre : 2019 URL de la Rencontre : https://conferences.cirm-math.fr/1995.html
Données de citation
DOI : 10.24350/CIRM.V.19508503Citer cette vidéo: Schwermer, Joachim (2019). On the general linear group over arithmetic orders and corresponding cohomology groups. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19508503 URI : http://dx.doi.org/10.24350/CIRM.V.19508503 |
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Bibliographie
