Quantum gravity from non-commutative geometry | Vidéo | Carmin.tv

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Quantum gravity from non-commutative geometry

By John Barrett

Appears in 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

The talk will discuss progress in modelling quantum spacetime using finite spectral triples. There will be a brief overview of the general ideas and some recent progress. A non-commutative model of a sphere with non-trivial spinor bundles will be presented.

Information about the video

Date of recording 08/04/2025
Date of publication 18/04/2025
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.20340703
Cite this video Barrett, John (08/04/2025). Quantum gravity from non-commutative geometry. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20340703
URL https://dx.doi.org/10.24350/CIRM.V.20340703

Domain(s)

Mathematical Physics

Bibliography

BARRETT, John W. Fermion integrals for finite spectral triples. Journal of Physics A: Mathematical and Theoretical, 2024, vol. 57, no 45, p. 455201. - http://www.doi.org/10.1088/1751-8121/ad82ba
BARRETT, John W. et GLASER, Lisa. Monte Carlo simulations of random non-commutative geometries. Journal of Physics A: Mathematical and Theoretical, 2016, vol. 49, no 24, p. 245001. - http://www.doi.org/10.1088/1751-8113/49/24/245001
BARRETT, John W. Matrix geometries and fuzzy spaces as finite spectral triples. Journal of Mathematical Physics, 2015, vol. 56, no 8. - https://doi.org/10.1063/1.4927224
D'ARCANGELO, Mauro. Numerical simulation of random Dirac operators. 2022. Thèse de doctorat. University of Nottingham. - https://eprints.nottingham.ac.uk/id/eprint/71106

MSC codes

Document(s)

https://www.cirm-math.fr/RepOrga/3196/Slides/6-barret.pdf

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