Institut Henri Poincaré

À la redécouverte des points rationnels

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A statistical version of a conjecture of Lang

Pierre Le Boudec

A conjecture of Lang predicts a lower bound for the canonical height of non-torsion rational points on elliptic curves defined over a fixed number field. In this talk we will adopt a statistical point of view on this conjecture for elliptic curves defined over the field of rational numbers.