Скачать или смотреть What are...Coxeter complexes?

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...Coxeter complexes? Or: Spheres and points.

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

TeX files for the presentation.
https://github.com/dtubbenhauer/My-Te...

Thumbnail.
https://img.freepik.com/free-vector/v...

Main discussion.
https://en.wikipedia.org/wiki/Coxeter...
https://link.springer.com/chapter/10....
https://link.springer.com/chapter/10....
https://math.ucr.edu/home/baez/mathem...

Background material.
https://en.wikipedia.org/wiki/Categor...
https://en.wikipedia.org/wiki/Categor...
https://en.wikipedia.org/wiki/Categor...
https://en.wikipedia.org/wiki/Coxeter...
https://en.wikipedia.org/wiki/Weyl_group
https://en.wikipedia.org/wiki/Root_sy...
https://en.wikipedia.org/wiki/Coxeter...

Computer talk.
https://doc.sagemath.org/html/en/refe...
https://doc.sagemath.org/html/en/refe...
https://doc.sagemath.org/html/en/them...
https://doc.sagemath.org/html/en/refe...

Pictures used.
Pictures from    • What are...actions, orbits and stabilizers?  
https://gurmeet.net/Images/puzzles/ca...
https://upload.wikimedia.org/wikipedi...
Picture from https://link.springer.com/book/10.100...
https://img.freepik.com/free-vector/v...
https://math.ucr.edu/home/baez/mathem...

https://www.researchgate.net/publicat...

YouTube and co.
   • Lecture 1 . Coxeter Groups (Federico Ardila)  
   • What is...a Coxeter group?   (Shameful selfpromotion)
   • Seminar Soergel bimodules 2 - Coxeter grou...   (Shameful selfpromotion)

#combinatorics
#geometry
#mathematics