Por Pablo Cubides Kovacsics (Université de Caen).

Abstract: After introducing C-minimal expansions of valued fields, the aim of the talk is to show that every C-minimal valued field having a value group which is Q-linearly bounded is uniformly polynomially bounded. As a corollary, we obtain that any C-minimal expansion of valued fields like C_p, Falg((tQ)) and, in general, of any valued field having Q as its value group, is uniformly polynomially bounded. This is a joint work with Françoise Delon.