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arXiv · 2109.01702

Progr\`es r\'ecents sur la conjecture de Zagier et le programme de Goncharov [d'apr\`es Goncharov, Rudenko, Gangl, ...]

Clément Dupont
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Abstract

This survey article is the written version of a talk given at the Bourbaki seminar in April 2021. We give an introduction to Zagier's conjecture on special values of Dedekind zeta functions, and its relation to $K$-theory of fields and the theory of motives. We survey recent progress on the conjecture and in particular the proof of the $n=4$ case of the conjecture by Goncharov and Rudenko.

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Clément Dupont. 2021-09-03. Progr\`es r\'ecents sur la conjecture de Zagier et le programme de Goncharov [d'apr\`es Goncharov, Rudenko, Gangl, ...]. https://doi.org/10.24033/ast.1165

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