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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

Author(s)

Ulrich Krähmer

License

DOI (Digital Object Identifier)

10.14760/SNAP-2015-017-EN

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snapshot-2015-017.pdf

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