Finite geometries: pure mathematics close to applications

Instantáneas de la actualidad matemática desde Oberwolfach

Finite geometries: pure mathematics close to applications

The research field of finite geometries investigates structures with a finite number of objects. Classical examples include vector spaces, projective spaces, and affine spaces over finite fields. Although many of these structures are studied for their geometrical importance, they are also of great interest in other, more applied domains of mathematics. In this snapshot, finite vector spaces are introduced. We discuss the geometrical concept of partial t-spreads together with its implications for the “packing problem” and a recent application in the existence of “cooling codes”.

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Área matemática

Álgebra y Teoría de números
Matemática discreta y Fundamentos
Geometría y Topología

Relaciones con otros campos

Informática
Ingeniería y Tecnología

Autor(es)

Leo Storme

Licencia

DOI (Identificador de objetos digitales)

10.14760/SNAP-2021-010-EN

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snapshot-2021-010.pdf

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Área matemática

Álgebra y Teoría de números
Análisis
Didáctica y Educación
Matemática discreta y Fundamentos
Geometría y Topología
Cálculo numérico y científico
Teoría de la probabilidad y Estadística

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