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Generators of elliptic curves over finite fields
Multi angle
Authors : Voloch, José Felipe (Author of the conference)
CIRM (Publisher )
11G20 - Curves over finite and local fields
11T23 - Exponential sums
11Y16 - Algorithms; complexity
14H52 - Elliptic curves
CIRM (Publisher )
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Abstract :
We will discuss some problems and results connected with finding generators for the group of rational points of elliptic curves over finite fields and connect this with the analogue for elliptic curves over function fields of Artin's conjecture for primitive roots.
MSC Codes : 11G20 - Curves over finite and local fields
11T23 - Exponential sums
11Y16 - Algorithms; complexity
14H52 - Elliptic curves
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 13/04/16 Conference Date : 31/03/16 Subseries : Research talks arXiv category : Number Theory ; Algebraic Geometry Mathematical Area(s) : Number Theory ; Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 00:34:19 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2016-03-31_Voloch.mp4 
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Information on the Event
Event Title : Dynamique et graphes sur les corps finis : aspects algebriques, arithmétiques et algorithmiques / Dynamics and graphs over finite fields: algebraic, number theoretic and algorithmic aspectsEvent Organizers : Chang, Mei-Chu ; von zur Gathen, Joachim ; Ostafe, Alina ; Pappalardi, Francesco Dates : 29/03/16 - 02/04/16 Event Year : 2016 Event URL : http://conferences.cirm-math.fr/1391.html
Citation Data
DOI : 10.24350/CIRM.V.18952503Cite this video as: Voloch, José Felipe (2016). Generators of elliptic curves over finite fields. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18952503 URI : http://dx.doi.org/10.24350/CIRM.V.18952503 |
See Also
- [Multi angle] Class number statistics for imaginary quadratic fields / Author of the conference Kurlberg, Pär.
- [Multi angle] Primes, exponential sums, and L-functions / Author of the conference Banks, William.
- [Post-edited] Unramified graph covers of finite degree / Author of the conference Li, Winnie.
Bibliography
- Shparlinski, I.E., & Voloch, J.F. (2014). Generators of elliptic curves over finite fields. Bulletin of the Institute of Mathematics. Academia Sinica. New Series, 9(4), 657-670 - http://w3.math.sinica.edu.tw/bulletin/bulletin_id_a.jsp?bid=MjAxNDQwNg==
