21 citations · 60 across the 23 of their papers we have counts for
5 papers · 1 filter
On morphisms of relative toposes
Léo Bartoli, Olivia Caramello
We systematically investigate the functors between sites which induce morphisms of relative toposes. In particualar, we establish a relative version of Diaconescu's theorem, charac…
Fibred sites and existential toposes
Olivia Caramello
In the context of relative topos theory via stacks, we introduce the notion of existential fibred site and of existential topos of such a site. These notions allow us to develop re…
Relative topos theory via stacks
Olivia Caramello, Riccardo Zanfa
We introduce new foundations for relative topos theory based on stacks. One of the central results in our theory is an adjunction between the category of toposes over the topos of…
Motivic toposes
Olivia Caramello
We present a research programme aimed at constructing classifying toposes of Weil-type cohomology theories and associated categories of motives, and introduce a number of notions a…
Syntactic categories for Nori motives
Luca Barbieri-Viale, Olivia Caramello, Laurent Lafforgue
We give a new construction, based on categorical logic, of Nori's -linear abelian category of mixed motives associated to a cohomology or homology functor with values in…