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Heuristics for boundedness of ranks of elliptic curves
Post-edited
Authors : Poonen, Bjorn (Author of the conference)
CIRM (Publisher )
11G05 - Elliptic curves over global fields
11G40 - $L$-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture
11R29 - Class numbers, class groups, discriminants
11R45 - Density theorems
14H52 - Elliptic curves
CIRM (Publisher )
Abstract :
We present heuristics that suggest that there is a uniform bound on the rank of $E(\mathbb{Q})$ as $E$ varies over all elliptic curves over $\mathbb{Q}$. This is joint work with Jennifer Park, John Voight, and Melanie Matchett Wood.
MSC Codes : 11G05 - Elliptic curves over global fields
11G40 - $L$-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture
11R29 - Class numbers, class groups, discriminants
11R45 - Density theorems
14H52 - Elliptic curves
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Conference Date : 28/09/16 Subseries : Research talks arXiv category : Number Theory Mathematical Area(s) : Algebraic & Complex Geometry ; Number Theory Format : MP4 (.mp4) - HD Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2016-09-28_Poonen.mp4 
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Information on the Event
Event Title : Rational points and algebraic geometry / Points rationnels et géométrie algébriqueEvent Organizers : Harari, David ; Skorobogatov, Alexei Dates : 26/09/16 - 30/09/16 Event Year : 2016 Event URL : http://conferences.cirm-math.fr/1503.html
Citation Data
DOI : 10.24350/CIRM.V.19056403Cite this video as: Poonen, Bjorn (2016). Heuristics for boundedness of ranks of elliptic curves. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19056403 URI : http://dx.doi.org/10.24350/CIRM.V.19056403 |
See Also
- [Multi angle] Sur la conjecture de Hodge entière pour les solides réels / Author of the conference Wittenberg, Olivier.
- [Multi angle] Differential descent obstructions / Author of the conference Voloch, José Felipe.
- [Multi angle] Bertini theorems in arithmetic geometry / Author of the conference Charles, François.
Bibliography
- Park, J., Poonen, B., Voight, J., & Wood, M.M. (2016). A heuristic for boundedness of ranks of elliptic curves.
