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Finite geometries: pure mathematics close to applications

Oberwolfach'tan

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”.

If you are interested in translating this Snapshot, please contact us at info@imaginary.org

Matematiksel konular

Cebir ve Sayılar Kuramı
Ayrık Matematik ve Matematiğin Temelleri
Geometri ve Topoloji

Diğer alanlarla ilişkiler

Bilgisayar Bilimeri
Mühendislik ve Teknoloji

Yazar(lar)

Leo Storme

Lisans

DOI (Dijital nesne belirteci)

10.14760/SNAP-2021-010-EN

PDF indir

snapshot-2021-010.pdf

PDF

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      Matematiksel konular

      Cebir ve Sayılar Kuramı
      Analiz
      Eğitim ve Eğitim Bilimi
      Ayrık Matematik ve Matematiğin Temelleri
      Geometri ve Topoloji
      Nümerik ve Hesap Analizi
      Olasılık Kuramı ve İstatistik

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