Jean-Pierre Serre: How to prove that Galois groups are "large" @_CIRM
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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.
Recording during the thematic meeting: "Heights, modularity, transcendence " the May 12, 2014 at the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Guillaume Hennenfent