Tropical geometry

Instantanés de recherche mathématique à Oberwolfach

Tropical geometry

What kind of strange spaces hide behind the enigmatic name of tropical geometry? In the tropics, just as in other geometries, one of the simplest objects is a line. Therefore, we begin our exploration by considering tropical lines. Afterwards, we take a look at tropical arithmetic and algebra, and describe how to define tropical curves using tropical polynomials.

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Sujet mathématique

Mathématiques discrètes et fondements des mathématiques
Géométrie et Topologie

Auteur(s)

Erwan Brugallé, Ilia Itenberg, Kristin Shaw, Oleg Viro

Licence

DOI

10.14760/SNAP-2018-007-EN

Télécharger PDF

snapshots-2018-007.pdf

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Sujet mathématique

Algèbre et théorie des nombres
Analyse
Pédagogie et éducation
Mathématiques discrètes et fondements des mathématiques
Géométrie et Topologie
Calcul numérique et calcul scientifique
Théorie des probabilités et statistique

Liens avec d'autres domaines

Chimie et sciences de la terre
Informatique
Ingénierie et technologie
Finances
Humanités et sciences sociales
Sciences de la vie
Physique
Pensées mathématiques

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