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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

      Relaciones con otros campos

      Química y Ciencias de la Tierra
      Informática
      Ingeniería y Tecnología
      Finanzas
      Humanidades y Ciencias sociales
      Ciencias de la vida
      Física
      Reflexiones sobre la matemática

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