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. 

If you are interested in translating this Snapshot, please contact us at info@imaginary.org

Mathematical subjects

Algebra and Number Theory
Geometry and Topology

Connections to other fields

Computer Science
Physics

Author(s)

Ulrich Krähmer
Senior Editor:
Carla Cederbaum
Junior Editor:
Sabiha Tokus

License

DOI (Digital Object Identifier)

10.14760/SNAP-2015-017-EN

Download PDF

PDF

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

These icons are available under the CC BY-SA 4.0 license. Please feel free to use them to classify your own content.
The vector icons can be downloaded here.