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Homogeneous vector bundles over abelian varieties
Multi angle
Authors : Brion, Michel (Author of the conference)
CIRM (Publisher )
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 (Publisher )
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Abstract :
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
MSC Codes : 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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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 18/10/2018 Conference Date : 11/10/2018 Subseries : Research talks arXiv category : Group Theory Mathematical Area(s) : Algebraic & Complex Geometry ; Lie Theory and Generalizations Format : MP4 (.mp4) - HD Video Time : 00:49:22 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2018-10-11_Brion.mp4 
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Information on the Event
Event Title : International workshop on geometric quantization and applications / Colloque international "Quantification géométrique et applications"Event Organizers : Ma, Xiaonan ; Meinrenken, Eckhard ; Paradan, Paul-Emile Dates : 08/10/2018 - 12/10/2018 Event Year : 2018 Event URL : https://conferences.cirm-math.fr/1867.html
Citation Data
DOI : 10.24350/CIRM.V.19464703Cite this video as: 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 |
See Also
- [Multi angle] Poisson-Lie duality and Langlands duality via Bohr-Sommerfeld / Author of the conference Alekseev, Anton.
- [Multi angle] Quantum footprints of symplectic rigidity / Author of the conference Polterovich, Leonid.
- [Multi angle] Geometric quantization of toric and semitoric systems / Author of the conference Miranda, Eva.
- [Post-edited] Multiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces / Author of the conference Boysal, Arzu.
Bibliography
- Brion, M. (2018). Homogeneous vector bundles over abelian varieties via representation theory.
