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Enumerative Geometry Meets Statistics, Combinatorics, and Topology

Name: Enumerative Geometry Meets Statistics, Combinatorics, and Topology
Creator: Michałek, Mateusz
Keywords: Mathematics - Algebraic Geometry, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 0101 mathematics, 01 natural sciences, Algebraic Geometry (math.AG)

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Apr 2023Embargo end date: 01 Jan 2022Publisher:American Mathematical Society (AMS)Journal:Notices of the American Mathematical Society, volume 70, page 1 (issn: 0002-9920, eissn: 1088-9477,

Authors: Michałek, Mateusz;

doi: 10.1090/noti2673 , 10.48550/arxiv.2209.02640

arXiv: http://arxiv.org/abs/2209.02640

Enumerative Geometry Meets Statistics, Combinatorics, and Topology

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Abstract

We explain connections among several, a priori unrelated, areas of mathematics: combinatorics, algebraic statistics, topology and enumerative algebraic geometry. Our focus is on discrete invariants, strongly related to the theory of Lorentzian polynomials. The main concept joining the mentioned fields is a linear space of matrices.

Keywords

Mathematics - Algebraic Geometry, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Algebraic Geometry (math.AG)

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