### Réalisation l-adique des motifs triangulés géométriques, by Florian Ivorra

In the first part of this work, we provide an integral l-adic
realization functor for Voevodsky's triangulated category of
geometrical motives over a noetherian separated scheme. Our approach
to the realization problem is to study finite correspondences from the
Nisnevich and étale local point of view. We set the existence of a
local decomposition for finite correspondences which allows us to
carry out the construction of the l-adic realization functor. We also
give a moderate l-adic realization in some geometrical situations.
For geometrical triangulated motives with rational coefficients over a
ground field of characteristic zero which is embeddable into C,
A. Huber has constructed a realization functor with values in the
category of mixed realization. In the second part of this work, we
prove that the l-adic realization functor obtained in the first part
is the same up to a canonical isomorphism than the l-adic component of
A. Huber's construction. We also prove a comparison theorem with the
classical l-adic cycle class map over a perfect field using an naive
motivic cycle class map.

Florian Ivorra <fivorra@math.jussieu.fr>