{ "id": "1711.11176", "version": "v1", "published": "2017-11-30T01:26:05.000Z", "updated": "2017-11-30T01:26:05.000Z", "title": "Combinatorial applications of the Hodge-Riemann relations", "authors": [ "June Huh" ], "comment": "16 pages; submitted to the 2018 ICM Proceedings", "categories": [ "math.CO", "math.AG" ], "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.", "revisions": [ { "version": "v1", "updated": "2017-11-30T01:26:05.000Z" } ], "analyses": { "keywords": [ "hodge-riemann relations", "combinatorial applications", "standard conjectures", "interesting sequences" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }