What is...additive combinatorics?
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- Опубликовано: 28 июн 2024
- 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...additive combinatorics? Or: Subfields of mathematics 2.
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Slides.
www.dtubbenhauer.com/youtube.html
TeX files for the presentation.
github.com/dtubbenhauer/My-Te...
Thumbnail.
Picture from en.wikipedia.org/wiki/Set_(ca...)
Main discussion.
en.wikipedia.org/wiki/Additiv...
www.cambridge.org/core/books/...
math.bme.hu/~gabor/oktatas/Sz...
yufeizhao.com/gtacbook/gtacbo...
en.wikipedia.org/wiki/Set_(ca...)
en.wikipedia.org/wiki/Cap_set
Background material.
en.wikipedia.org/wiki/Combina...
en.wikipedia.org/wiki/Graph_t...
en.wikipedia.org/wiki/Group_t...
en.wikipedia.org/wiki/Analysis
en.wikipedia.org/wiki/Ergodic...
en.wikipedia.org/wiki/Cyclic_...
en.wikipedia.org/wiki/Arithme...
en.wikipedia.org/wiki/General...
en.wikipedia.org/wiki/Restric...
en.wikipedia.org/wiki/Roth%27...
en.wikipedia.org/wiki/Restric...
en.wikipedia.org/wiki/Freiman...
Computer talk.
doc.sagemath.org/html/en/prep...
stackoverflow.com/questions/7...
Pictures used.
media.geeksforgeeks.org/wp-co...
coolmath.com/sites/default/fi...
Picture from en.wikipedia.org/wiki/Cyclic_...
en.wikipedia.org/wiki/Set_(ca...
media.cheggcdn.com/media/631/...
cdn.programiz.com/sites/tutor...
upload.wikimedia.org/wikipedi...
RUclips and co.
• Introduction to additi...
• 1. A bridge between gr...
#combinatorics
#numbertheory
#mathematics
You are a severely underrated channel, keep up the great work!
When I look at the big RUclips channels and their questionable quality, then I rather stay small 🤣
Haha, just kidding. I am glad that you like the channel, you feedback is really appreciated ☺
very very good work , keep it up .
Thank you for the feedback, I am glad that you enjoyed the topic ☺
This guy is completing all of mathematics on his channel 🤯🤯🤯
Haha, yes that is that plan 🤣😉
@@VisualMath It's a shame you didn't include the famous Tao-Green theorem about arbitrarily long arithmetic progressions in the sequence of Prime Numbers...perhaps for another video? I believe this was one of the reasons Tao won the Fields medal.
@@Sidionian Yes, I will cover that one eventually, but I decide to go for "more classical" theorems 😅