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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
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Algebra und Zahlentheorie
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Diskrete Mathematik und Grundlagen
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Geometrie und Topologie
Verbindung zu anderen Gebieten
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Informatik
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Ingenieurwissenschaft und Technik
Lizenz
DOI (Digital Object Identifier)
10.14760/SNAP-2021-010-EN
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snapshots: overview
Mathematisches Fachgebiet
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Algebra und Zahlentheorie
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Analysis
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Didaktik und Bildung
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Diskrete Mathematik und Grundlagen
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Geometrie und Topologie
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Numerik und Wissenschaftliches Rechnen
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Überlegungen zur Mathematik