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From SFB1085 - Higher Invariants
Jump to navigationJump to searchClassically, the theory of Nori motives provides an unconditional candidate for the conjectural abelian category of mixed motives over a field of characteristic zero. In the last few years, it has been expanded to a theory of Nori motivic sheaves equipped with Grothendieck's six operations. In fact, two natural definitions of Nori motivic sheaves have been proposed: one by Ivorra--Morel (generalizing the universal property of Nori's abelian category), and one by Ayoub (generalizing the interpretation of Nori motives as representations of the motivic Galois group). The goal of my talk is to show that the two definitions are equivalent in a very precise sense. This is based on joint work with Emil Jacobsen.