Arrangements, Matroids and Logarithmic Vector Fields

The focus of this workshop was on the ongoing interaction between geometric aspects of matroid theory with various directions in the study of hyperplane arrangements. A hyperplane arrangement is exactly a linear realization of a (loop-free, simple) matroid. While a matroid is a purely combinatorial object, though, an arrangement is associated with a range of algebraic and geometric constructions that connect closely with the combinatorics of matroids.The meeting brought together researchers involved with complementary angles on the subject, many of whom had not met before, so an important underlying objective was to make introductions between groups with overlapping interests in order to facilitate new collaborations and advances in the subject.

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Publication Details

Journal
Oberwolfach Reports
Published
2024-11-25
DOI
https://doi.org/10.4171/owr/2024/29
Primary Topic
graph theory and CDMA systems
Type
article
Field-Weighted Citation Impact
0.00
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article

Arrangements, Matroids and Logarithmic Vector Fields

Graham Denham, Gerhard Röhrle, Takuro Abe, Eva Maria Feichtner
Oberwolfach Reports
graph theory and CDMA systems
article

Arrangements, Matroids and Logarithmic Vector Fields

Graham Denham, Gerhard Röhrle, Takuro Abe, Eva Maria Feichtner
article en

Abstract

The focus of this workshop was on the ongoing interaction between geometric aspects of matroid theory with various directions in the study of hyperplane arrangements. A hyperplane arrangement is exactly a linear realization of a (loop-free, simple) matroid. While a matroid is a purely combinatorial object, though, an arrangement is associated with a range of algebraic and geometric constructions that connect closely with the combinatorics of matroids.The meeting brought together researchers involved with complementary angles on the subject, many of whom had not met before, so an important underlying objective was to make introductions between groups with overlapping interests in order to facilitate new collaborations and advances in the subject.

Oberwolfach ReportsVol. 21(2)
Western University (CA), Rikkyo University (JP), University of Bremen (DE), Ruhr University Bochum (DE)
Openalex Percentile: Top 81%
graph theory and CDMA systems
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Arrangements, Matroids and Logarithmic Vector Fields — Graham Denham, Gerhard Röhrle, et al. · Oberwolfach Reports (2024) | TGRS Research Map | TGRS