  In this thesis we compare V. Voevodsky's geometric motives to the derived
category of M. Nori's abelian category of mixed motives by constructing a
triangulated tensor functor between them. It will be compatible with the Betti
realizations on both sides. We allow an arbitrary noetherian ring of
coefficients, but require it to be a field or a Dedekind domain for the tensor
structure on derived Nori motives to exist.
  There are three key ingredients: we present a theory of Nisnevich covers on
finite acyclic diagrams of finite correspondences, explain, following D. Rydh,
how to interpret finite correspondences as multivalued morphisms and elaborate
on M. Nori's cohomological cell structures. For the first two, we will be
working over an arbitrary regular scheme, but the last one will require that we
restrict ourselves to a subfield of the complex numbers.
  On the way we also show that smooth commutative group schemes over a normal
base automatically admit transfers, generalizing a result by M. Spiess and T.
Szamuely.
