The ordered differential field of transseries | Vidéo | Carmin.tv

00:00:00 / 00:00:00

The ordered differential field of transseries

De Lou Van den Dries

Apparaît dans la collection : Ordered algebraic structures and related topics / Structures algébriques ordonnées et leurs interactions

The field of Laurent series (with real coefficients, say) has a natural derivation but is too small to be closed under integration and other natural operations such as taking logarithms of positive elements. The field has a natural extension to a field of generalized series, the ordered differential field of transseries, where these defects are remedied in a radical way. I will sketch this field of transseries. Recently it was established (Aschenbrenner, Van der Hoeven, vdD) that the differential field of transseries also has very good model theoretic properties. I hope to discuss this in the later part of my talk.

Informations sur la vidéo

Date de captation 13/10/2015
Date de publication 17/11/2015
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.18863503
Citer cette vidéo Van den Dries, Lou (13/10/2015). The ordered differential field of transseries. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18863503
URL https://dx.doi.org/10.24350/CIRM.V.18863503

Domaine(s)

Bibliographie

Aschenbrenner, M., van den Dries, L., & van der Hoeven, J. (2015). Asymptotic differential algebra and model theory of transseries. <arXiv:1509.02588> - http://arxiv.org/abs/1509.02588

Codes MSC

Dernières questions liées sur MathOverflow

Pour poser une question, votre compte Carmin.tv doit être connecté à mathoverflow

Poser une question sur MathOverflow

Copyright Carmin.tv 2025

Donner son avis