A family of Fano manifolds obtained as linear sections of the spinor tenfold | Vidéo | Carmin.tv

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A family of Fano manifolds obtained as linear sections of the spinor tenfold

De Laurent Manivel

Apparaît dans la collection : Jean Morlet Chair - Real algebraic geometry and Birational geometry / Chaire Jean Morlet - Géométrie Algébrique Réelle et Géométrie Birationnelle

Many nice Fano manifolds and K3 surfaces can be obtained as linear sections of homogeneous spaces. I will study low-codimensional sections of the spinor tenfold, that admit non-trivial moduli starting from codimension four. The corresponding family exhibits an extremely rich geometry, connected with the exceptional complex Lie algebra of type E 8, the theory of graded Lie algebras, as well as the classical Kummer quartic surfaces in three dimensional projective space.

Informations sur la vidéo

Date de captation 03/06/2025
Date de publication 20/06/2025
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs, Doctorants
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.20357303
Citer cette vidéo Manivel, Laurent (03/06/2025). A family of Fano manifolds obtained as linear sections of the spinor tenfold. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20357303
URL https://dx.doi.org/10.24350/CIRM.V.20357303

Domaine(s)

Géométrie algébrique

Bibliographie

LIU, Yingqi et MANIVEL, Laurent. On linear sections of the spinor tenfold II. arXiv preprint arXiv:2504.21056, 2025. - https://doi.org/10.48550/arXiv.2504.21056

Codes MSC

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