In the spirit of work by Pila-Wilkie (2006) and by Pila (2009), we will present bounds on the number of points of bounded height in the non-archimedean context. An important tool to make the determinant method work is provided by a non-archimedean version of the Yomdin – Gromov parameterizing lemma. We wil explain these results, obtained in joint work with G. Comte and F. Loeser.
- Séminaire Géométrie et théorie des modèles