Ordered algebraic structures and related topics / Structures algébriques ordonnées et leurs interactions

Collection Ordered algebraic structures and related topics / Structures algébriques ordonnées et leurs interactions

Organizer(s) Broglia, Fabrizio ; Delon, Francoise ; Dickmann, Max ; Gondard, Danielle

Date(s) 12/10/2015 - 16/10/2015

linked URL http://conferences.cirm-math.fr/1155.html

00:00:00 / 00:00:00

2 5

The ordered differential field of transseries

By Lou Van den Dries

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.

Information about the video

Date of recording 13/10/2015
Date of publication 17/11/2015
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.18863503
Cite this video 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

Domain(s)

Bibliography

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

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