English
Homogeneous vector bundles over abelian varieties
Multi angle
Auteurs : Brion, Michel (Auteur de la Conférence)
CIRM (Editeur )
14J60 - Vector bundles on surfaces and higher-order varieties, and their moduli
14K05 - Algebraic theory of abelian varieties
14L15 - Group schemes
20G05 - Representation theory of linear algebraic groups
CIRM (Editeur )
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Résumé :
The objects of the talk are the translation-invariant vector bundles over an abelian variety. We will present a representation-theoretic description of these vector bundles, which displays a remarkable analogy with finite-dimensional representations of a compact connected Lie group: the weight lattice is replaced with the dual abelian variety, the Weyl group with the Galois group of the ground field...
Keywords : abelian variety; homogeneous vector bundle; irreducible representation; unipotent vector bundle
Codes MSC : Keywords : abelian variety; homogeneous vector bundle; irreducible representation; unipotent vector bundle
14J60 - Vector bundles on surfaces and higher-order varieties, and their moduli
14K05 - Algebraic theory of abelian varieties
14L15 - Group schemes
20G05 - Representation theory of linear algebraic groups
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 18/10/2018 Date de captation : 11/10/2018 Sous collection : Research talks arXiv category : Group Theory Domaine : Algebraic & Complex Geometry ; Lie Theory and Generalizations Format : MP4 (.mp4) - HD Durée : 00:49:22 Audience : Researchers Download : https://videos.cirm-math.fr/2018-10-11_Brion.mp4 
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Informations sur la Rencontre
Nom de la rencontre : International workshop on geometric quantization and applications / Colloque international "Quantification géométrique et applications"Organisateurs de la rencontre : Ma, Xiaonan ; Meinrenken, Eckhard ; Paradan, Paul-Emile Dates : 08/10/2018 - 12/10/2018 Année de la rencontre : 2018 URL Congrès : https://conferences.cirm-math.fr/1867.html
Données de citation
DOI : 10.24350/CIRM.V.19464703Citer cette vidéo: Brion, Michel (2018). Homogeneous vector bundles over abelian varieties. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19464703 URI : http://dx.doi.org/10.24350/CIRM.V.19464703 |
Voir aussi
- [Multi angle] Poisson-Lie duality and Langlands duality via Bohr-Sommerfeld / Auteur de la Conférence Alekseev, Anton.
- [Multi angle] Quantum footprints of symplectic rigidity / Auteur de la Conférence Polterovich, Leonid.
- [Multi angle] Geometric quantization of toric and semitoric systems / Auteur de la Conférence Miranda, Eva.
- [ Post-edited] Multiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces / Auteur de la Conférence Boysal, Arzu.
Bibliographie
- Brion, M. (2018). Homogeneous vector bundles over abelian varieties via representation theory.
