Essence of independence: Hodge theory of matroids since June Huh

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2022-11-10 DOI:10.1090/bull/1803
C. Eur
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引用次数: 1

Abstract

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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独立的本质:六月以来的拟阵Hodge理论
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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来源期刊
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
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