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

00:00:00 / 00:00:00

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

By Laurent Manivel

Appears in 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.

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

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

Copyright Carmin.tv 2025

Give feedback