A Mathematical Picture Language Program

Abstract

We give an overview of our philosophy of pictures in mathematics. We emphasize a bi-directional process between picture language and mathematical concepts: abstraction and simulation. This motivates a program to understand different subjects, using virtual and real mathematical concepts simulated by pictures.

15 pages

References in corpus (7)

• Planar Para Algebras, Reflection Positivity
• Quons: A 3D Language for Quantum Information
• Reflection Positivity for Parafermions
• Constructive Simulation and Topological Design of Protocols
• Charged String Tensor Networks
• Jones-Wassermann subfactors for modular tensor categories
• Quon language: surface algebras and Fourier duality

Cited by in corpus (6)

• Lectures on Quantum Tensor Networks
• Quantum Fourier Analysis
• Holographic Software for Quantum Networks
• Reflection Positivity and Levin-Wen Models
• Quantized Graphs and Quantum Error Correction
• A Mathematical Picture Language Project