COMBINATORIAL APPLICATIONS OF THE HODGE–RIEMANN RELATIONS
By June Huh. International Congress of Mathematicans, 2017
71 citations recorded by the source corpus.
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.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics
View Paper: https://www.semanticscholar.org/paper/ab53095f5ef89c1b197cb67ef2c6c9cdab4f770c
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In Algebra and Number Theory
- Petter Brand'en
- June Huh
- Federico Ardila
- Paolo Aluffi
- Graham C. Denham
- Eric Katz
- Christopher Eur
- Karim A. Adiprasito
In Discrete Mathematics and Combinatorics
- Petter Brand'en
- June Huh
- Federico Ardila
- Eric Katz
- Julius Borcea
- Paolo Aluffi
- Christopher Eur
- Graham C. Denham
Citations in the corpus
- Lorentzian polynomials. (2019, methodology): “This content downloaded from 210.219.50.14 on Wed, 20 Jan 2021 22:50:38 UTC All use subject to https://about.jstor.org/terms [Huh19] J. Huh, Combinatorial applications of the Hodge-Riemann relations, in Proceedings of the International Congress of Mathematicians—Rio de Janeiro 2018.”
- Simplicial generation of Chow rings of matroids (2019, unknown): “likewise for HR. The relation between log-concavity and the Ka¨hler package 28 SPENCER BACKMAN, CHRISTOPHER EUR, CONNOR SIMPSON in degree ≤1 was realized in various contexts; for a survey we point to [Huh18a]. We will only need the following, adapted from [BH19, Proposition 5.6]. It also appeared in”