23 citations · 127 across the 26 of their papers we have counts for
5 papers · 1 filter
Motivic homological stability for configurations spaces of the line
Geoffroy Horel
We lift the classical theorem of Arnol'd on homological stability for configurations spaces of the plane to the motivic world. More precisely, we prove that the schemes of unordere…
Rigidification of higher categorical structures
Giovanni Caviglia, Geoffroy Horel
Given a limit sketch in which the cones have a finite connected base, we show that a model structure of "up to homotopy" models for this limit sketch in a suitable model category c…
Pro-categories in homotopy theory
Ilan Barnea, Yonatan Harpaz, Geoffroy Horel
The goal of this paper is to prove an equivalence between the model categorical approach to pro-categories, as studied by Isaksen, Schlank and the first author, and the -ca…
Brown categories and bicategories
Geoffroy Horel
In a Brown category of cofibrant objects, there is a model for the mapping spaces of the hammock localization in terms of zig-zags of length 2. In this paper we show how to assembl…
Profinite completion of operads and the Grothendieck-Teichmüller group
Geoffroy Horel
In this paper, we prove that the group of homotopy automorphisms of the profinite completion of the operad of little -disks is isomorphic to the profinite Grothendieck-Teichmüll…