论文标题

独立的本质:自6月以来的霍奇原理理论

Essence of independence: Hodge theory of matroids since June Huh

论文作者

Eur, Christopher

论文摘要

矩形是独立性的组合抽象,这是一个无处不在的概念,它遍及数学的许多分支。 June Huh和他的合作者最近通过开发了一种怪异理论,从而解决了Matroid理论中的几个长期猜想,从而取得了壮观的突破。我们调查了这一发展及其背后思想的主要结果。

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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