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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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