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”.

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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

Diğer alanlarla ilişkiler

Kimya ve Yer Bilimler
Bilgisayar Bilimeri
Mühendislik ve Teknoloji
Finans
Beşeri ve Sosyal Bilimler
Yaşam Bilimleri
Fizik
Matematik Üzerine Düşünceler

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