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How to prove that Galois groups are large

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Authors : Serre, Jean-Pierre (Author of the conference)
CIRM (Publisher )

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Abstract : The Galois groups of the title are those which are associated with elliptic curves over number fields; I shall explain the methods which were introduced in the 1960's in order to prove that they are large, and the questions about them which are still open fifty years later.
Galois - elliptic - l-adic - Tate - proofs

MSC Codes :
11G05 - Elliptic curves over global fields
11R32 - Galois theory

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 02/06/14
    Conference Date : 12/05/2014
    Series : The Fields Medallists
    Subseries : Research talks
    arXiv category : History and Overview ; Number Theory
    Mathematical Area(s) : Number Theory ; History of Mathematics
    Format : MP4 (.mp4) - HD
    Video Time : 00:53:37
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2014-05-12_Serre.mp4

Information on the Event

Event Title : Heights, modularity, transcendence / Hauteurs, modularité, transcendance
Event Organizers : Bosser, Vincent ; Rivoal, Tanguy ; Ratazzi, Nicolas
Dates : 12/05/14 - 16/05/14
Event Year : 2014
Event URL : http://www-fourier.ujf-grenoble.fr/~rivo...

Citation Data

DOI : 10.24350/CIRM.V.18493303
Cite this video as: Serre, Jean-Pierre (2014). How to prove that Galois groups are large. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18493303
URI : http://dx.doi.org/10.24350/CIRM.V.18493303

Bibliography



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