Real singularities and applications / Singularités réelles et applications

Collection Real singularities and applications / Singularités réelles et applications

Organizer(s) Dutertre, Nicolas ; Trotman, David

Date(s) 16/02/2015 - 20/02/2015

linked URL http://chairejeanmorlet-1stsemester2015.weebly.com/real-singularities.html

00:00:00 / 00:00:00

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Improvements in the Pila-Wilkie theorem for curves

By Gareth O. Jones

The Pila-Wilkie theorem gives a bound on the number of rational points of bounded height lying on the transcendental part of a set definable in an o-minimal expansion of the real field. After discussing this result, I’ll describe various classes of curves for which the Pila-Wilkie bound can be improved. I’ll also give some examples and perhaps some applications.

Information about the video

Date of recording 18/02/2015
Date of publication 03/03/2015
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.18703603
Cite this video Jones, Gareth O. (18/02/2015). Improvements in the Pila-Wilkie theorem for curves. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18703603
URL https://dx.doi.org/10.24350/CIRM.V.18703603

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