The model theory of Hardy fields and linear differential equations | Vidéo | Carmin.tv

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The model theory of Hardy fields and linear differential equations

By Matthias Aschenbrenner

Appears in collection : Model theory of valued fields / Théorie des modèles des corps valués

Hardy fields form a natural domain for a 'tame' part of asymptotic analysis. In this talk I will explain how a recent theorem which permits the transfer of statements concerning algebraic differential equations between Hardy fields and related structures yields applications to some classical linear differential equations. (Joint work with L. van den Driesand J. van der Hoeven.)

Information about the video

Date of recording 02/06/2023
Date of publication 23/06/2023
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.20050303
Cite this video Aschenbrenner, Matthias (02/06/2023). The model theory of Hardy fields and linear differential equations. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20050303
URL https://dx.doi.org/10.24350/CIRM.V.20050303

Domain(s)

Bibliography

ASCHENBRENNER, Matthias, DRIES, Lou van den, et VAN DER HOEVEN, Joris. Maximal Hardy Fields. arXiv preprint arXiv:2304.10846, 2023. - https://doi.org/10.48550/arXiv.2304.10846

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