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Absolute sets and the Decomposition Theorem
Multi angle
Authors : Budur, Nero (Author of the conference)
CIRM (Publisher )
14C30 - Transcendental methods, Hodge theory, Hodge conjecture
14D07 - Variation of Hodge structures
14F05 - Sheaves, derived categories of sheaves and related constructions
14F43 - Other algebro-geometric (co)homologies
CIRM (Publisher )
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Abstract :
We give a new, more conceptual proof of the Decomposition Theorem for semisimple perverse sheaves of rank-one origin, assuming it for those of constant-sheaf origin, that is, assuming the geometric case proven by Beilinson-Bernstein-Deligne-Gabber. Joint work with Botong Wang.
MSC Codes : 14C30 - Transcendental methods, Hodge theory, Hodge conjecture
14D07 - Variation of Hodge structures
14F05 - Sheaves, derived categories of sheaves and related constructions
14F43 - Other algebro-geometric (co)homologies
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 21/02/2019 Conference Date : 11/02/2019 Subseries : Research talks arXiv category : Algebraic Geometry Mathematical Area(s) : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 00:58:40 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-02-11_Budur.mp4 
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Information on the Event
Event Title : Birational geometry and Hodge theory / Géométrie birationnelle et théorie de HodgeEvent Organizers : Claudon, Benoît ; Höring, Andreas ; Rousseau, Erwan ; Taji, Behrouz Dates : 11/02/2019 - 15/02/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/2101.html
Citation Data
DOI : 10.24350/CIRM.V.19494003Cite this video as: Budur, Nero (2019). Absolute sets and the Decomposition Theorem. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19494003 URI : http://dx.doi.org/10.24350/CIRM.V.19494003 |
See Also
- [Multi angle] Stably irrational hypersurfaces of small slopes / Author of the conference Schreieder, Stefan.
- [Multi angle] On the B-Semiampleness Conjecture / Author of the conference Floris, Enrica.
- [Multi angle] Arithmetic of rank one local systems / Author of the conference Esnault, Hélène.
- [Post-edited] On the Lüroth problem for real varieties / Author of the conference Benoist, Olivier.
Bibliography
- Budur, N., & Wang, B. (2018). Absolute sets and the Decomposition Theorem.
