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

De Annette Huber-Klawitter

Apparaît dans les 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.

Informations sur la vidéo

Date de captation 07/11/2024
Date de publication 18/11/2024
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.20260003
Citer cette vidéo 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

Domaine(s)

Géométrie algébrique

Bibliographie

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

Codes MSC

14F42 Motivic cohomology; motivic homotopy theory

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