Rarefaction of maximal real algebraic hypersurfaces | Vidéo | Carmin.tv

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Rarefaction of maximal real algebraic hypersurfaces

By Michele Ancona

Appears in collection : Real Aspects of Geometry / Aspects réels de la géométrie

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.

Information about the video

Date of recording 31/10/2022
Date of publication 25/11/2022
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19979203
Cite this video Ancona, Michele (31/10/2022). Rarefaction of maximal real algebraic hypersurfaces. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19979203
URL https://dx.doi.org/10.24350/CIRM.V.19979203

Domain(s)

Algebraic Geometry

Bibliography

ANCONA, Michele. Exponential rarefaction of maximal real algebraic hypersurfaces. arXiv preprint arXiv:2009.11951, 2020. - https://doi.org/10.48550/arXiv.2009.11951

MSC codes

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