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Bulletin of the American Mathematical Society

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.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Essence of independence: Hodge theory of matroids since June Huh
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by Christopher Eur;
Bull. Amer. Math. Soc. 61 (2024), 73-102
DOI: https://doi.org/10.1090/bull/1803
Published electronically: July 31, 2023

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.
References
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Bibliographic Information
  • Christopher Eur
  • Affiliation: Harvard University
  • MR Author ID: 1344038
  • Email: ceur@math.harvard.edu
  • Received by editor(s): May 12, 2023
  • Published electronically: July 31, 2023
  • © Copyright 2023 American Mathematical Society
  • Journal: Bull. Amer. Math. Soc. 61 (2024), 73-102
  • MSC (2020): Primary 05B35, 05E14, 14F43, 14C17
  • DOI: https://doi.org/10.1090/bull/1803
  • MathSciNet review: 4678572