|Responsables :||Zoé Chatzidakis, Raf Cluckers.|
|Email des responsables :|
Pour recevoir le programme par e-mail, écrivez à : zchatzid_at_dma.ens.fr.
|Orateur(s)||Per Salberger - Gothenburg,|
|Titre||Counting rational points with the determinant method|
|Horaire||14:15 à 15:45|
|Résume||The determinant method gives upper bounds for the number of rational points of bounded height on or near algebraic varieties defined over global fields. There is a real-analytic version of the method due to Bombieri and Pila and a p-adic version due to Heath-Brown. The aim of our talk is to describe a global refinement of the p-adic method and some applications like a uniform bound for non-singular cubic curves which improves upon earlier bounds of Ellenberg-Venkatesh and Heath-Brown.|