English

Combinatorial applications of the Hodge-Riemann relations

Combinatorics 2018-04-17 v2 Algebraic Geometry

Abstract

Why do natural and interesting sequences often turn out to be log-concave? We give one of many possible explanations, from the viewpoint of "standard conjectures". We illustrate with several examples from combinatorics.

Keywords

Cite

@article{arxiv.1711.11176,
  title  = {Combinatorial applications of the Hodge-Riemann relations},
  author = {June Huh},
  journal= {arXiv preprint arXiv:1711.11176},
  year   = {2018}
}

Comments

16 pages; typos corrected. to appear in the 2018 ICM Proceedings