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Polygonal knots and oriented matroids

Algebra & Discrete Mathematics

Speaker: Jorge Luis Ramirez-Alfonsin, U. Montpellier France
Related Webpage: https://imag.umontpellier.fr/~ramirez/livres.html
Location: 2112 MSB
Start time: Mon, Oct 26 2026, 11:00AM

Description

A polygonal knot is a loop in three-dimensional space formed by a finite union of straight line segments. After giving a gentle, brief introduction on oriented matroids, we discuss how to use this combinatorial structure to investigate some problems on polygonal knots. In particular, we present a recent result about reconstructing polygonal knots via chirotopes.