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

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-09-03 DOI:10.24033/ast.1165

C. Dupont

引用次数: 1

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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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）

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.