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

Schnappschüsse moderner Mathematik aus 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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Mathematisches Fachgebiet

Algebra und Zahlentheorie
Geometrie und Topologie

Verbindung zu anderen Gebieten

Informatik
Physik

Autor(en)

Ulrich Krähmer

Lizenz

DOI (Digital Object Identifier)

10.14760/SNAP-2015-017-EN

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snapshot-2015-017.pdf

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Mathematisches Fachgebiet

Algebra und Zahlentheorie
Analysis
Didaktik und Bildung
Diskrete Mathematik und Grundlagen
Geometrie und Topologie
Numerik und Wissenschaftliches Rechnen
Wahrscheinlichkeitstheorie und Statistik

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Informatik
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