For a profinite group, we construct a model structure on profinite spaces and profinite
spectra with a continuous action. This yields descent spectral sequences for the homotopy …

A less known event of 1968 in Paris was the publication of “Dix exposés sur la cohomologie
des schémas” by J. Giraud, A. Grothendieck, SL Kleiman, M. Raynaud and J. Tate. Included …

A new approach to\'etale homotopy theory is presented which applies to a much broader
class of objects than previously existing approaches, namely it applies not only to all …

We study the homotopy type of the simplicial set of continuous semi-algebraic simplexes of
an algebraic variety defined over a real closed field, which we will call the real homotopy …

Let $(X,\bar x) $ be a pointed connected noetherian scheme. In this note, we give
characterizations for the vanishing of the second\'etale homotopy group $\pi^{\rm\'et} _2 …

We reinterpret a result of Pop and Stix on the $ p $-adic section conjecture in terms of
Berkovich spaces and fixed points. In doing this, we see a version of the result extends to …

Extending a result of Schröer on a Grothendieck question in the context of complex analytic
spaces, we prove that the surjectivity of the Brauer map δ: Br (X)→ H ét 2 (X, G m, X) tors …

Homotopy Theory and Arithmetic Geometry—Motivic and Diophantine Aspects: An
Introduction | SpringerLink Skip to main content Advertisement SpringerLink Account Menu …

In this work we shall introduce a new model structure on the category of pro-simplicial
sheaves, which is very convenient for the study of\'etale homotopy. Using this model …

A new approach to étale homotopy theory is presented which applies to a much broader
class of objects than previously existing approaches, namely it applies not only to all …