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Computing Sato-Tate statistics
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Authors : Sutherland, Andrew (Author of the conference)
CIRM (Publisher )
11G10 - Abelian varieties of dimension >1
11G20 - Curves over finite and local fields
11Y16 - Algorithms; complexity
14G10 - Zeta-functions and related questions
14K15 - Arithmetic ground fields
CIRM (Publisher )
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Abstract :
Survey of methods for computing zeta functions of low genus curves, including generic group algorithms, p-adic cohomology, CRT-based methods (Schoof-Pila), and recent average polynomial-time algorithms.
Sato-Tate - Abelian surfaces - Abelian threefolds - hyperelliptic curves
MSC Codes : Sato-Tate - Abelian surfaces - Abelian threefolds - hyperelliptic curves
11G10 - Abelian varieties of dimension >1
11G20 - Curves over finite and local fields
11Y16 - Algorithms; complexity
14G10 - Zeta-functions and related questions
14K15 - Arithmetic ground fields
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 09/10/14 Conference Date : 21/02/14 Subseries : Research School arXiv category : Number Theory ; Algebraic Geometry Mathematical Area(s) : Algebra ; Number Theory Format : MP4 (.mp4) - HD Video Time : 01:11:18 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2014-02-21_Sutherland_part3.mp4 
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Information on the Event
Event Title : Jean-Morlet Chair - Doctoral school : Frobenius distribution on curves / Chaire Jean-Morlet - Ecole doctorale : distribution de Frobenius sur des courbesEvent Organizers : Kohel, David ; Ritzenthaler, Christophe ; Shparlinski, Igor Dates : 17/02/14 - 28/02/14 Event Year : 2014 Event URL : https://www.chairejeanmorlet.com/1059.html
Citation Data
DOI : 10.24350/CIRM.V.18597703Cite this video as: Sutherland, Andrew (2014). Computing Sato-Tate statistics. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18597703 URI : http://dx.doi.org/10.24350/CIRM.V.18597703 |
See Also
- [Single angle] Moment sequences of Sato-Tate groups / Author of the conference Sutherland, Andrew.
- [Single angle] Introduction to Sato-Tate distributions / Author of the conference Sutherland, Andrew.
Bibliography
