布尔巴基1176：扎吉尔猜想和贡恰洛夫程序的最新进展（基于贡恰洛夫、鲁登科、恒河等）

IF 1 4区数学 Q1 MATHEMATICS Asterisque Pub Date : 2021-09-03 DOI:10.24033/ast.1165

C. Dupont

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引用次数: 1

摘要

这篇概览文章是2021年4月在布尔巴基研讨会上演讲的书面版本。本文介绍了Zagier关于Dedekind zeta函数特殊值的猜想，以及它与场理论和动机理论的关系。本文综述了该猜想的最新进展，特别是Goncharov和Rudenko对该猜想的$n=4$情形的证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Exposé Bourbaki 1176 : Progrès récents sur la conjecture de Zagier et le programme de Goncharov (d'après Goncharov, Rudenko, Gangl,...)

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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来源期刊

Asterisque MATHEMATICS-

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

>12 weeks

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