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math.AG2015
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…
math.AG2015
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…