Describing distance: from the plane to spectral triples

Instantanés de recherche mathématique à Oberwolfach

Describing distance: from the plane to spectral triples

Geometry draws its power from the abstract structures that govern the shapes found in the real world. These abstractions often provide deeper insights into the underlying mathematical objects. In this snapshot, we give a glimpse into how certain “curved spaces” called manifolds can be better understood by looking at the (complex) differentiable functions they admit.

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Sujet mathématique

Géométrie et Topologie

Liens avec d'autres domaines

Physique

Auteur(s)

Francesca Arici, Bram Mesland

Licence

DOI

10.14760/SNAP-2021-009-EN

Télécharger PDF

snapshot-2021-009.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
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Finances
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Sciences de la vie
Physique
Pensées mathématiques

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