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Finite geometries: pure mathematics close to applications

Schnappschüsse moderner Mathematik aus 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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Mathematisches Fachgebiet

Algebra und Zahlentheorie
Diskrete Mathematik und Grundlagen
Geometrie und Topologie

Verbindung zu anderen Gebieten

Informatik
Ingenieurwissenschaft und Technik

Autor(en)

Leo Storme

Lizenz

DOI (Digital Object Identifier)

10.14760/SNAP-2021-010-EN

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snapshot-2021-010.pdf

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      Mathematisches Fachgebiet

      Algebra und Zahlentheorie
      Analysis
      Didaktik und Bildung
      Diskrete Mathematik und Grundlagen
      Geometrie und Topologie
      Numerik und Wissenschaftliches Rechnen
      Wahrscheinlichkeitstheorie und Statistik

      Verbindung zu anderen Gebieten

      Chemie und Geowissenschaft
      Informatik
      Ingenieurwissenschaft und Technik
      Finanzwesen
      Geistes- und Sozialwissenschaft
      Biowissenschaft
      Physik
      Überlegungen zur Mathematik

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