Jean Morlet Chair - Real algebraic geometry and Birational geometry / Chaire Jean Morlet - Géométrie Algébrique Réelle et Géométrie Birationnelle

Collection Jean Morlet Chair - Real algebraic geometry and Birational geometry / Chaire Jean Morlet - Géométrie Algébrique Réelle et Géométrie Birationnelle

Organizer(s) Bouchareb, Naoufal ; Cheltsov, Ivan ; Heuberger, Liana ; Itenberg, Ilia ; Mangolte, Frédéric ; Rond, Guillaume

Date(s) 02/06/2025 - 06/06/2025

linked URL https://conferences.cirm-math.fr/3168.html

00:00:00 / 00:00:00

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

By Laurent Manivel

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.

Information about the video

Date of recording 03/06/2025
Date of publication 20/06/2025
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.20357303
Cite this video 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

Domain(s)

Algebraic Geometry

Bibliography

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

MSC codes

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