From computer algorithms to quantum field theory: an introduction to operads

Instantanés de recherche mathématique à Oberwolfach

From computer algorithms to quantum field theory: an introduction to operads

An operad is an abstract mathematical tool encoding operations on specific mathematical structures. It finds applications in many areas of mathematics and related fields. This snapshot explains the concept of an operad and of an algebra over an operad, with a view towards a conjecture formulated by the mathematician Pierre Deligne. Deligne’s (by now proven) conjecture also gives deep inights into mathematical physics. 

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Sujet mathématique

Algèbre et théorie des nombres
Géométrie et Topologie

Liens avec d'autres domaines

Informatique
Physique

Auteur(s)

Ulrich Krähmer

Licence

DOI

10.14760/SNAP-2015-017-EN

Télécharger PDF

snapshot-2015-017.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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