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Improvements in the Pila-Wilkie theorem for curves
Multi angle
Authors : Jones, Gareth O. (Author of the conference)
CIRM (Publisher )
03C64 - Model theory of ordered structures; o-minimality
26E05 - Real-analytic functions [See also 32B05, 32C05]
CIRM (Publisher )
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Abstract :
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.
MSC Codes : 03C64 - Model theory of ordered structures; o-minimality
26E05 - Real-analytic functions [See also 32B05, 32C05]
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 03/03/15 Conference Date : 18/02/15 Subseries : Research talks arXiv category : Logic in Computer Science ; Algebraic Geometry Mathematical Area(s) : Logic and Foundations Format : MP4 (.mp4) - HD Video Time : 00:47:36 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2015-02-18_Jones.mp4 
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Information on the Event
Event Title : Real singularities and applications / Singularités réelles et applicationsEvent Organizers : Dutertre, Nicolas ; Trotman, David Dates : 16/02/15 - 20/02/15 Event Year : 2015 Event URL : http://chairejeanmorlet-1stsemester2015....
Citation Data
DOI : 10.24350/CIRM.V.18703603Cite this video as: Jones, Gareth O. (2015). Improvements in the Pila-Wilkie theorem for curves. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18703603 URI : http://dx.doi.org/10.24350/CIRM.V.18703603 |
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