What is...discrete geometry?

Goal.
I would like to tell you a bit about my favorite subfields of mathematics (in no particular order), highlighting key theorems, ideas or concepts and why I like them so much. This is a variation of “My favorite theorems” and I park the videos on that list as well.

This time.
What is...discrete geometry? Or: Subfields of mathematics 22.

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.
Picture from    • What are...incarnations of the Borsuk...  

Main discussion.
https://en.wikipedia.org/wiki/Discret...
https://en.wikipedia.org/wiki/Kneser_...
https://en.wikipedia.org/wiki/Borsuk%...

Background material.
https://en.wikipedia.org/wiki/Discret...
https://en.wikipedia.org/wiki/Geometr...
https://en.wikipedia.org/wiki/Simplic...
https://en.wikipedia.org/wiki/Topolog...
https://en.wikipedia.org/wiki/Inciden...
https://en.wikipedia.org/wiki/Structu...
https://en.wikipedia.org/wiki/Necklac...
https://en.wikipedia.org/wiki/Aandera...
https://en.wikipedia.org/wiki/Finite_...
https://en.wikipedia.org/wiki/Discret...
https://en.wikipedia.org/wiki/Circle_...

Computer talk.
https://mathworld.wolfram.com/Knesers...
https://doc.sagemath.org/html/en/refe...
https://doc.sagemath.org/html/en/refe...

Pictures used.
Pictures from    • What are...cell complexes?  
https://en.wikipedia.org/wiki/Kneser_...
Picture from    • What are...incarnations of the Borsuk...  
Picture from    • What is...Kneser's conjecture?  
Another picture from    • What are...incarnations of the Borsuk...  

YouTube and co.
   • What is...Kneser's conjecture?   (Shameful selfpromotion)
   • The Borsuk Ulam Theorem  
   • What are...incarnations of the Borsuk...   (Shameful selfpromotion)

#geometry
#combinatorics
#mathematics
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.
Picture from    • What are...incarnations of the Borsuk...  

Main discussion.
https://en.wikipedia.org/wiki/Discret...
https://en.wikipedia.org/wiki/Kneser_...
https://en.wikipedia.org/wiki/Borsuk%...

Background material.
https://en.wikipedia.org/wiki/Discret...
https://en.wikipedia.org/wiki/Geometr...
https://en.wikipedia.org/wiki/Simplic...
https://en.wikipedia.org/wiki/Topolog...
https://en.wikipedia.org/wiki/Inciden...
https://en.wikipedia.org/wiki/Structu...
https://en.wikipedia.org/wiki/Necklac...
https://en.wikipedia.org/wiki/Aandera...
https://en.wikipedia.org/wiki/Finite_...
https://en.wikipedia.org/wiki/Discret...
https://en.wikipedia.org/wiki/Circle_...

Computer talk.
https://mathworld.wolfram.com/Knesers...
https://doc.sagemath.org/html/en/refe...
https://doc.sagemath.org/html/en/refe...

Pictures used.
Pictures from    • What are...cell complexes?  
https://en.wikipedia.org/wiki/Kneser_...
Picture from    • What are...incarnations of the Borsuk...  
Picture from    • What is...Kneser's conjecture?  
Another picture from    • What are...incarnations of the Borsuk...  

YouTube and co.
   • What is...Kneser's conjecture?   (Shameful selfpromotion)
   • The Borsuk Ulam Theorem  
   • What are...incarnations of the Borsuk...   (Shameful selfpromotion)

#geometry
#combinatorics
#mathematics