What are...operads?
Goal. I would like to tell you a bit about my favorite theorems, ideas or concepts in mathematics and why I like them so much. This time. What are...operads? Or: Topological algebra. Disclaimer. Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references. Slides. http://www.dtubbenhauer.com/youtube.html Thumbnail. https://static01.nyt.com/images/2012/... Basis of this video is this awesome blog. https://www.math3ma.com/blog/what-is-... https://www.math3ma.com/blog/what-is-... Operads. https://www.ams.org/notices/200406/wh... https://arxiv.org/abs/math/0305049 https://en.wikipedia.org/wiki/Operad https://ncatlab.org/nlab/show/operad https://bartoszmilewski.com/2015/10/0... The phylogenetic tree. https://arxiv.org/abs/1512.03337 https://johncarlosbaez.wordpress.com/... https://golem.ph.utexas.edu/category/... A variation (planar algebra). https://arxiv.org/abs/math/9909027 https://en.wikipedia.org/wiki/Planar_... Mathematica. https://mathworld.wolfram.com/Operad.... Pictures used. Many pictures from https://www.math3ma.com/blog/what-is-... Picture from https://www.ams.org/notices/200406/wh... https://en.wikipedia.org/wiki/Planar_... https://math.ucr.edu/home/baez/ecolog... Picture from https://johncarlosbaez.wordpress.com/... YouTube and co. • Operads (Bruno Valette) • Operads
What are...prime knots?
When Math Isn’t Based in Reality
Introduction to operads William Dwyer (University of Notre Dame)
Dr. Bruno Vallette | Operads: definition, examples and first properties
A Sensible Introduction to Category Theory
We're 99.9% sure this pattern is true, but no one can prove it
Electrons Don't Actually Orbit Like This
Why Peter Scholze is once in a Generation Mathematician
What is the opposite of a set?
Group theory, abstraction, and the 196,883-dimensional monster
Terence Tao: Nobody Understands Why AI Actually Works
This pattern breaks, but for a good reason | Moser's circle problem
How Can One Object Affect Another Through Empty Space? | Maxwell’s Equations: Part 1
What is a Monad? - Computerphile
Algebraic Topology 0: Cell Complexes
Terence Tao on Grigori Perelman solving Poincare Conjecture | Lex Fridman Podcast Clips
What is a Hilbert Space?
Tai-Danae Bradley: "Entropy as an Operad Derivation"
What is algebraic geometry?
