Specialization techniques and stable rationality - Lecture 3 | Vidéo | Carmin.tv

00:00:00 / 00:00:00

Specialization techniques and stable rationality - Lecture 3

By John Christian Ottem

Appears in collection : Logarithmic and non-archimedean methods in Singularity Theory - Thematic Month Week 1 / Méthodes logarithmiques et non-archimédiennes en théorie des singularités - Mois thématique semaine 1

The talks will be about the use of the motivic obstruction to stable rationality introduced by Nicaise–Shinder to the rationality problem for hypersurfaces and complete intersections. In particular, we will show that very general quartic fivefolds and complete intersections of a quadric and a cubic in $\mathrm{P}^{6}$ arestably irrational. An important new ingredient is the use of tropical degeneration techniques. These results are obtained in collaboration with Johannes Nicaise.

Information about the video

Date of recording 31/01/2025
Date of publication 14/02/2025
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.20294403
Cite this video Ottem, John Christian (31/01/2025). Specialization techniques and stable rationality - Lecture 3. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20294403
URL https://dx.doi.org/10.24350/CIRM.V.20294403

Domain(s)

Algebraic Geometry

Bibliography

NICAISE, Johannes et OTTEM, John Christian. Tropical degenerations and stable rationality. Duke Mathematical Journal, 2022, vol. 171, no 15, p. 3023-3075. - https://doi.org/10.1215/00127094-2022-0065
NICAISE, Johannes et OTTEM, John Christian. A refinement of the motivic volume, and specialization of birational types. In : Rationality of varieties. Springer International Publishing, 2021. p. 291-322. - https://doi.org/10.1007/978-3-030-75421-1_11

MSC codes

Document(s)

https://www.cirm-math.fr/RepOrga/3267/Slides/Ottem_CIRM_slides_complete.pdf

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