独立的本质：六月以来的拟阵Hodge理论

IF 2 3区数学 Q1 MATHEMATICS

Bulletin of the American Mathematical Society Pub Date : 2022-11-10 DOI:10.1090/bull/1803

C. Eur

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引用次数: 1

摘要

拟阵是独立性的组合抽象，这是一个普遍存在的概念，贯穿于数学的许多分支。June Huh和他的合作者最近通过发展Hodge拟阵理论取得了惊人的突破，该理论解决了拟阵理论中几个长期存在的猜想。我们调查了这一发展的主要成果及其背后的想法。

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Essence of independence: Hodge theory of matroids since June Huh

Matroids are combinatorial abstractions of independence, a ubiquitous notion that pervades many branches of mathematics. June Huh and his collaborators recently made spectacular breakthroughs by developing a Hodge theory of matroids that resolved several long-standing conjectures in matroid theory. We survey the main results in this development and ideas behind them.

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来源期刊

Bulletin of the American Mathematical Society 数学-数学

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.