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Hodge conjecture for singular varieties
Multi angle
Authors : Kaur, Inder (Author of the conference)
CIRM (Publisher )
14C30 - Transcendental methods, Hodge theory, Hodge conjecture
32S35 - Mixed Hodge theory of singular varieties
CIRM (Publisher )
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Abstract :
The classical Hodge conjecture for smooth, projective varieties has been open for over 70 years, although it has been proven for some specific varieties. In this talk I will discuss a cohomological version of the Hodge conjecture for singular varieties. I will give a sufficient condition in terms of Mumford-Tate groups for a variety to satisfy the singular Hodge conjecture. If time allows I will give explicit examples of such varieties. This is joint work with Ananyo Dan.
MSC Codes : 14C30 - Transcendental methods, Hodge theory, Hodge conjecture
32S35 - Mixed Hodge theory of singular varieties
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 15/12/2022 Conference Date : 28/11/2022 Subseries : Research talks arXiv category : Algebraic Geometry Mathematical Area(s) : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 00:45:31 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-11-28_Kaur.mp4 
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Information on the Event
Event Title : Algebraic Geometry and Complex Geometry 2022 / Géométrie Algébrique et Géométrie Complexe 2022Event Organizers : Darondeau, Lionel ; Floris, Enrica Dates : 28/11/2022 - 02/12/2022 Event Year : 2022 Event URL : https://conferences.cirm-math.fr/2605.html
Citation Data
DOI : 10.24350/CIRM.V.19983803Cite this video as: Kaur, Inder (2022). Hodge conjecture for singular varieties. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19983803 URI : http://dx.doi.org/10.24350/CIRM.V.19983803 |
See Also
- [Multi angle] Combinatorial Reid's recipe for consistent dimer models / Author of the conference Heuberger, Liana.
- [Multi angle] Positivity of higher exterior powers of the tangent bundle / Author of the conference Gachet, Cécile.
- [Multi angle] Asymptotic behaviour of rational curves / Author of the conference Faisant, Loïs.
Bibliography
Imagette Video
