Extremal eigenvectors, the spectral action, and the zeta spectral triple | Vidéo | Carmin.tv

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Extremal eigenvectors, the spectral action, and the zeta spectral triple

De Alain Connes

Apparaît dans la collection : Applications of NonCommutative Geometry to Gauge Theories, Field Theories, and Quantum Space-Time / Applications de la Géométrie Non Commutative aux Théories de Jauge, à la Théorie des Champs et aux Espaces-Temps Quantiques

I will first explain the joint work with Walter van Suijlekom on a new result about th zeros of the Fourier transform of extremal eigenvectors for quadratic forms associated to distributions on a bounded interval and its relation with the spectral action. Then I will explain how these results allow to advance in the joint work which I am doing with Consani and Moscovici on the zeta spectral triple. Finally, if time permits, I will discuss several ideas in connection with physics and non-commutative geometry.

Informations sur la vidéo

Date de captation 10/04/2025
Date de publication 18/04/2025
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.20340803
Citer cette vidéo Connes, Alain (10/04/2025). Extremal eigenvectors, the spectral action, and the zeta spectral triple. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20340803
URL https://dx.doi.org/10.24350/CIRM.V.20340803

Domaine(s)

Bibliographie

CONNES, A., CONSANI, C., Weil positivity and trace formula the archimedean place. Sel. Math. New Ser. 27, 77 (2021) - https://doi.org/10.1007/s00029-021-00689-4
CONNES, A., CONSANI, C., Spectral triples and ζ-cycles. Enseign. Math. 69 (2023), no. 1/2, pp. 93–148 - https://doi.org/10.4171/lem/1049
A. Connes, C. Consani, H. Moscovici, Zeta zeros and prolate wave operators, ArXiv :2310.18423 - https://doi.org/10.48550/arXiv.2310.18423

Codes MSC

Document(s)

https://www.cirm-math.fr/RepOrga/3196/Slides/4-Stephan.pdf

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