独立的本质:六月以来的拟阵Hodge理论

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS
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。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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
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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