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Finite geometries: pure mathematics close to applications
Instantanés de recherche mathématique à 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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Sujet mathématique
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/algebra-12.png?itok=WMnSOls0)
Algèbre et théorie des nombres
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/discrete-mathematics-15.png?itok=-FzQkYYS)
Mathématiques discrètes et fondements des mathématiques
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/geometry-11.png?itok=7nie2HtL)
Géométrie et Topologie
Liens avec d'autres domaines
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/computer-science-07.png?itok=pLuN6kUJ)
Informatique
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/engineering-13.png?itok=tp5ri2dm)
Ingénierie et technologie
Licence
DOI
10.14760/SNAP-2021-010-EN
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snapshots: overview
Sujet mathématique
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/algebra-12.png?itok=WMnSOls0)
Algèbre et théorie des nombres
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/analysis-06.png?itok=O4i7d5Wv)
Analyse
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/didactics-education-15.png?itok=zGEXvt-F)
Pédagogie et éducation
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/discrete-mathematics-15.png?itok=-FzQkYYS)
Mathématiques discrètes et fondements des mathématiques
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/geometry-11.png?itok=7nie2HtL)
Géométrie et Topologie
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/scientific-computing-13.png?itok=ITl1i8bo)
Calcul numérique et calcul scientifique
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/probability-03.png?itok=3JwXiTOH)
Théorie des probabilités et statistique
Liens avec d'autres domaines
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/earth-science-08.png?itok=cZerm-ci)
Chimie et sciences de la terre
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/computer-science-07.png?itok=pLuN6kUJ)
Informatique
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/engineering-13.png?itok=tp5ri2dm)
Ingénierie et technologie
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/finances-12.png?itok=lG8MBRm4)
Finances
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/humanities-02.png?itok=RscY9Rzd)
Humanités et sciences sociales
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Sciences de la vie
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/physics-05.png?itok=QpsS2HhD)
Physique
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/reflections-05.png?itok=9gMon4LN)
Pensées mathématiques