Essence of independence: Hodge theory of matroids since June Huh
- Resource Type
- Working Paper
- Authors
- Eur, Christopher
- Source
- Subject
- Mathematics - Combinatorics
Mathematics - Algebraic Geometry
- Language
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.
Comment: 30 pages. Minor revisions. To appear in Bull. Am. Math. Soc. Comments welcome!