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From computer algorithms to quantum field theory: an introduction to operads
Snapshots of modern mathematics from 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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Mathematical subjects
Algebra and Number Theory
Geometry and Topology
Connections to other fields
Computer Science
Physics
License
DOI (Digital Object Identifier)
10.14760/SNAP-2015-017-EN
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snapshots: overview
Mathematical subjects
Algebra and Number Theory
Analysis
Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
Numerics and Scientific Computing
Probability Theory and Statistics
Connections to other fields
Chemistry and Earth Science
Computer Science
Engineering and Technology
Finance
Humanities and Social Sciences
Life Science
Physics
Reflections on Mathematics