What motives know about periods -- and the other way around | Vidéo | Carmin.tv

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What motives know about periods -- and the other way around

By Annette Huber-Klawitter

Appears in collections : , Motivic homotopy in interaction / Homotopie motivique en interaction

In my talk, I will discuss an application of the theory of motives to transcendence theory, concentrating on the formal aspects. The Period Conjecture predicts that all relations between period numbers are induced by properties of the category of motives. It is a theorem for motives of points and curves, but wide open in general. The Period Conjecture also implies fullness of the Hodge-de Rham realization on Nori motives. If time permits, I will discuss how this generalizes (conjecturally) to triangulated motives and thus to motivic cohomology.

Information about the video

Date of recording 07/11/2024
Date of publication 18/11/2024
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.20260003
Cite this video Huber-Klawitter, Annette (07/11/2024). What motives know about periods -- and the other way around. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20260003
URL https://dx.doi.org/10.24350/CIRM.V.20260003

Domain(s)

Algebraic Geometry

Bibliography

HUBER, Annette et MÜLLER-STACH, Stefan. Periods and Nori motives. Springer, 2017. - https://doi.org/10.1007/978-3-319-50926-6
HUBER, Annette et WÜSTHOLZ, Gisbert. Transcendence and linear relations of 1-periods. Cambridge University Press, 2022. - https://doi.org/10.1017/9781009019729
HUBER, Annette. Galois Theory of Periods, Münster J. Math. 13 (2020), no. 2, 573--596. - https://doi.org/10.17879/90169640486

MSC codes

14F42 Motivic cohomology; motivic homotopy theory

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