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Rarefaction of maximal real algebraic hypersurfaces
Multi angle
Authors : Ancona, Michele (Author of the conference)
CIRM (Publisher )
14P25 - Topology of real algebraic varieties
32S25 - Surface and hypersurface singularities [See also 14J17]
CIRM (Publisher )
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Abstract :
In a real algebraic variety, among all real algebraic hypersurfaces of degree $d$, the proportion of those with a very large total Betti number goes to zero exponentially fast when $d$ goes to infinity.
Keywords : topology of real algebraic varieties; random hypersurfaces
MSC Codes : Keywords : topology of real algebraic varieties; random hypersurfaces
14P25 - Topology of real algebraic varieties
32S25 - Surface and hypersurface singularities [See also 14J17]
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 25/11/2022 Conference Date : 31/10/2022 Subseries : Research talks arXiv category : Algebraic Geometry Mathematical Area(s) : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 01:03:03 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-10-31_Ancona.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.19979203Cite this video as: Ancona, Michele (2022). Rarefaction of maximal real algebraic hypersurfaces. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19979203 URI : http://dx.doi.org/10.24350/CIRM.V.19979203 |
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] Algebraic approximation of submanifolds of real algebraic varieties / Author of the conference Benoist, Olivier.
Bibliography
- ANCONA, Michele. Exponential rarefaction of maximal real algebraic hypersurfaces. arXiv preprint arXiv:2009.11951, 2020. - https://doi.org/10.48550/arXiv.2009.11951
Imagette Video
