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Finite geometries: pure mathematics close to applications
Snapshots of modern mathematics from 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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Mathematical subjects

Algebra and Number Theory

Discrete Mathematics and Foundations

Geometry and Topology
Connections to other fields

Computer Science

Engineering and Technology
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DOI (Digital Object Identifier)
10.14760/SNAP-2021-010-EN
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snapshots: overview
Mathematical subjects

Algebra and Number Theory

Analysis

Didactics and Education

Discrete Mathematics and Foundations

Geometry and Topology

Numerics and Scientific Computing

Probability Theory and Statistics
Connections to other fields

Chemistry and Earth Science

Computer Science

Engineering and Technology

Finance

Humanities and Social Sciences

Life Science

Physics

Reflections on Mathematics