4 papers · 1 filter
Derived noncommutative Zariski immersion and an equivalent reformulation of Friedlander-Milnor conjecture
Ilias Amrani
WeintroducethenotionofderivedformalnoncommutativeZariski immersion for differential graded algebra with examples from topology. We il- lustrate the importance of such notion by ref…
Analogy between the cyclotomic trace map and the Grothendieck trace formula via noncommutative geometry
Ilias Amrani
In this article, we suggest a categorification procedure in order to capture an analogy between Crystalline Grothendieck-Lefschetz trace formula and the cyclotomic trace map $K\rig…
Moduli space of fibrations in the category of simplicial presheaves
Ilias Amrani
We describe the moduli space of extensions in the model category of simplicial presheaves. This article can be seen as a generalization of Blomgren-Chacholski results in the case o…
Stabilization of the category of simplicial objects in CAT
Ilias Amrani
In this article, we define two equivalent new model structures on the category of simplicial objects in . Then we construct the corresponding stable m…