What's a representation? An intro to modern math's magical machinery | скачать в хорошем качестве

What's a representation? An intro to modern math's magical machinery |

This video is an introduction to the representation theory of finite groups. It is pretty dense, but I did my best not to include much heavy mathematics. I'll leave some links below for some more background on several of the topics in the video. None of these are necessary to understand the video, but they're definitely helpful and a good place to branch out. 3B1B's intro to group theory:    • Group theory, abstraction, and the 196,883...   3B1B's Intro to linear algebra:    • Vectors | Chapter 1, Essence of linear alg...   Borcherds' representation theory (advanced):    • Representation theory: Introduction   Quanta vid on Langlands:    • The Biggest Project in Modern Mathematics   This video was made in large part for 3Blue1Brown's Summer of Math Exposition 2 #some2. Thanks to Grant Sanderson, James Schloss, and everyone else who helped organize it. See the main video for more information here:    • Summer of Math Exposition 2 Invitation   Timestamps: 0:00 - Introduction 2:27 - Groups 4:54 - GL(V) 5:54 - bird 6:01 - Linear algebra crash course 8:48 - Cyclic group representation 12:20 - Symmetric group cycles 14:15 - A5 representation 18:25 - Summary Credits: Thumbnail has pics from nature and thewalrus (illustrator Jonathan Dyck) Images of cubes and dodecahedron come from robertlovespi, who has an amazing site about tons of polyhedra bird:    • Crow searching for a nut I'd hidden and th...   end credits bird gif from user arashigul on gifer