Mixed Tate Motives and Aomoto Polylogarithms

Abstract: Grothendieck proposed the category of motives as a Tannakian category, offering a universal framework for Weil cohomology theories. In this talk, we will consider motives in the sense of Nori. One expects the Hopf algebra R of mixed Tate motives to be isomorphic to the bi-algebra A of Aomoto polylogarithms. Our aim is to reconstruct A using Nori motives. This allows us to write a morphism from A to R.

algebraic geometrynumber theory

Audience: researchers in the topic

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FGC-HRI-IPM Number Theory Webinars

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