Abstract:

The generic base change formula holds with integral coefficients for
étale motives. After explaining the ingredients of the proof, we will see
an application of it: a way to prove a uniform version of Nori's Basic Lemma
over an arbitrary field. This means that, for any separated scheme of
finite type X over a field, there is a complex of integral étale motives,
whose l-adic realizations give a bounded resolution of l-adic étale
cohomology of X for all prime numbers l (including l=p).