Enumerative Geometry Meets Statistics, Combinatorics, and Topology

DOI10.1090/NOTI2673zbMATH Open1522.14068arXiv2209.02640MaRDI QIDQ6073077

Mateusz Michalek

Publication date: 16 October 2023

Published in: Notices of the American Mathematical Society (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/2209.02640

Mathematics Subject Classification ID

Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Characteristic classes and numbers in differential topology (57R20) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25) Combinatorial aspects of groups and algebras (05E16)

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