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Regulators of elliptic curves
Multi angle
Authors : Pazuki, Fabien (Author of the conference)
CIRM (Publisher )
11G50 - Heights
14G40 - Arithmetic varieties and schemes; Arakelov theory; heights
CIRM (Publisher )
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Abstract :
In a recent collaboration with Pascal Autissier and Marc Hindry, we prove that up to isomorphisms, there are at most finitely many elliptic curves defined over a fixed number field, with Mordell-Weil rank and regulator bounded from above, and rank at least 4.
Keywords : Heights; abelian varieties; regulators; Mordell-Weil
MSC Codes : Keywords : Heights; abelian varieties; regulators; Mordell-Weil
11G50 - Heights
14G40 - Arithmetic varieties and schemes; Arakelov theory; heights
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 18/09/2018 Conference Date : 11/09/2018 Subseries : Research talks arXiv category : Number Theory Mathematical Area(s) : Number Theory Format : MP4 (.mp4) - HD Video Time : 00:34:16 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2018-09-11_Pazuki.mp4 
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Information on the Event
Event Title : Diophantine approximation and transcendence / Approximation diophantienne et transcendanceEvent Organizers : Adamczewski, Boris ; Bugeaud, Yann ; Habegger, Philipp ; Laurent, Michel ; Zannier, Umberto Dates : 10/09/2018 - 14/09/2018 Event Year : 2018 Event URL : https://conferences.cirm-math.fr/1841.html
Citation Data
DOI : 10.24350/CIRM.V.19445803Cite this video as: Pazuki, Fabien (2018). Regulators of elliptic curves. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19445803 URI : http://dx.doi.org/10.24350/CIRM.V.19445803 |
See Also
- [Multi angle] Height pairings, torsion points, and dynamics / Author of the conference Krieger, Holly.
- [Post-edited] Mahler's method in several variables / Author of the conference Adamczewski, Boris.
Bibliography
- Autissier, P., Hindry, M., & Pazuki, F. (2018). Regulators of elliptic curves.
