Bjorn Poonen: Heuristics for boundedness of ranks of elliptic curves

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Abstract: We present heuristics that suggest that there is a uniform bound on the rank of E(ℚ) as E varies over all elliptic curves over ℚ. This is joint work with Jennifer Park, John Voight, and Melanie Matchett Wood.

Recording during the thematic meeting : "Rational Points and Algebraic Geometry " the September 28, 2016 at the Centre International de Rencontres Mathématiques (Marseille, France)

Filmmaker: Guillaume Hennenfent

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