This thesis presents a way to apply this theorem of Gabber to a large portion of Voevodsky's
work in order to lift the assumption that resolution of singularities holds. This gives …

We develop the theory of Milnor-Witt motives and motivic cohomology. Compared to
Voevodsky's theory of motives and his motivic cohomology, the first difference appears in …

The aim of this work is to construct certain homotopy t-structures on various categories of
motivic homotopy theory, extending works of Voevodsky, Morel, Déglise and Ayoub. We …

The purpose of this work is to study the notion of bivariant theory introduced by Fulton and
MacPherson in the context of motivic stable homotopy theory, and more generally in the …

Given a 0-connective motivic spectrum E∈ SH (k) over a perfect field k, we determine h ̲ 0
of the associated motive ME∈ DM (k) in terms of π ̲ 0 (E). Using this, we show that if k has …

In dieser Arbeit behandeln wir den Vergleich von zwei verschiedenen Konstruktionen inder
Morel-Voevodsky stabilen Homotopie Kategorie SH (K) von glatten K-Varietäten, wobei K …

Abstract We prove the Riemann–Roch theorem for homotopy invariant K-theory and
projective local complete intersection morphisms between finite dimensional noetherian …

We introduce the motivic coniveau exact couple associated with a smooth scheme, in the
framework of mixed motives, whose property is to universally give rise to coniveau spectral …

Let k be a field and denote by SH (k) SH (k) the motivic stable homotopy category. Recall its
full subcategory SH (k)^ eff ♡ SH (k) eff♡(Bachmann in J Topol 10 (4): 1124–1144. arXiv …

For any cohomology theory $ H $ that can be factorized through (the Morel-Voevodsky's
triangulated motivic homotopy category) $ SH^{S^ 1}(k) $(or through $ SH (k) $) we …