Applied Category Theory - The Emerging Science of Compositionality

Explore the emerging field of applied category theory in this 25-minute conference talk from YOW! 2019. Discover how the central idea of compositionality connects diverse fields such as programming, quantum physics, chemistry, and database theory. Learn about the importance of building complex systems from simpler components without losing control. Gain insights into core concepts of category theory and their practical applications across various industries. Understand how functional programming principles relate to broader scientific and technological domains. Leave with a broad overview of cutting-edge applications, an understanding of key concepts, and inspiration to apply category theory to your work.

Introduction
Functional Programming
Compositionality
Preserving Guarantees
Making Big Programs
Monoids
Categories
Case Study
Compositionality Graph
Compositionality Template
A New Concept
Use Case
String Diagrams
Nesting Diagrams
Wiring Diagrams