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Algebraic approximation of submanifolds of real algebraic varieties
Multi angle
Authors : Benoist, Olivier (Author of the conference)
CIRM (Publisher )
13C40 - Linkage, complete intersections and determinantal ideals, See also {14M12}
14C15 - (Equivariant) Chow groups and rings; motives
14P05 - Real algebraic sets, See also {12Dxx}
55N22 - Bordism and cobordism theories, formal group laws, See also {14L05, 19L41, 57R75, 57R77, 57R85, 57R90}
CIRM (Publisher )
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Abstract :
When can one approximate a differentiable submanifold of a nonsingular real algebraic variety by nonsingular real algebraic subvarieties? I will explain new positive and negative results concerning this question.
Keywords : real algebraic geometry; linkage; cobordism; algebraic approximation
MSC Codes : Keywords : real algebraic geometry; linkage; cobordism; algebraic approximation
13C40 - Linkage, complete intersections and determinantal ideals, See also {14M12}
14C15 - (Equivariant) Chow groups and rings; motives
14P05 - Real algebraic sets, See also {12Dxx}
55N22 - Bordism and cobordism theories, formal group laws, See also {14L05, 19L41, 57R75, 57R77, 57R85, 57R90}
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 25/11/2022 Conference Date : 01/11/2022 Subseries : Research talks arXiv category : Algebraic Geometry Mathematical Area(s) : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 01:03:18 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-11-01_Benoist.mp4 
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Information on the Event
Event Title : Real Aspects of Geometry / Aspects réels de la géométrieEvent Organizers : Finashin, Sergey ; Itenberg, Ilia ; Welschinger, Jean-Yves Dates : 31/10/2022 - 04/11/2022 Event Year : 2022 Event URL : https://conferences.cirm-math.fr/2607.html
Citation Data
DOI : 10.24350/CIRM.V.19979303Cite this video as: Benoist, Olivier (2022). Algebraic approximation of submanifolds of real algebraic varieties. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19979303 URI : http://dx.doi.org/10.24350/CIRM.V.19979303 |
See Also
- [Multi angle] Real lines on del Pezzo surface and beyond / Author of the conference Kharlamov, Viatcheslav.
- [Multi angle] Real structures on hyper-Kähler manifolds / Author of the conference Fu, Lie.
- [Multi angle] Rarefaction of maximal real algebraic hypersurfaces / Author of the conference Ancona, Michele.
Bibliography
- BENOIST, Olivier. On the subvarieties with nonsingular real loci of a real algebraic variety. arXiv preprint arXiv:2005.06424, 2020. - https://doi.org/10.48550/arXiv.2005.06424
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