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Finite geometries: pure mathematics close to applications

Instantanés de recherche mathématique à 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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Sujet mathématique

Algèbre et théorie des nombres
Mathématiques discrètes et fondements des mathématiques
Géométrie et Topologie

Liens avec d'autres domaines

Informatique
Ingénierie et technologie

Auteur(s)

Leo Storme

Licence

DOI

10.14760/SNAP-2021-010-EN

Télécharger PDF

snapshot-2021-010.pdf

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      Sujet mathématique

      Algèbre et théorie des nombres
      Analyse
      Pédagogie et éducation
      Mathématiques discrètes et fondements des mathématiques
      Géométrie et Topologie
      Calcul numérique et calcul scientifique
      Théorie des probabilités et statistique

      Liens avec d'autres domaines

      Chimie et sciences de la terre
      Informatique
      Ingénierie et technologie
      Finances
      Humanités et sciences sociales
      Sciences de la vie
      Physique
      Pensées mathématiques

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