What are...examples of regular functions?
Вставка
- Опубліковано 17 тра 2024
- Goal.
Explaining basic concepts in the intersection of geometry and algebra in an intuitive way.
This time.
What are...examples of regular functions? Or: Regular functions and localizations.
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Disclaimer.
In this course I try to cover my favorite topics in algebraic geometry, from classical ideas such as algebraic varieties, to modern ideas such as schemes, to really modern ideas such as tropical varieties. I give a very biased collection of topics, and not nearly all that can be said will be addressed. Sorry for that.
Slides.
www.dtubbenhauer.com/youtube.html
Website with exercises.
www.dtubbenhauer.com/lecture-a...
Thumbnail.
Picture from the first video slides.
Classical algebraic geometry.
en.wikipedia.org/wiki/Algebra...
en.wikipedia.org/wiki/Commuta...
en.wikipedia.org/wiki/Multiva...
en.wikipedia.org/wiki/Algebra...
en.wikipedia.org/wiki/Affine_...
en.wikipedia.org/wiki/Project...
en.wikipedia.org/wiki/Quasi-p...
en.wikipedia.org/wiki/Line_(g...)
en.wikipedia.org/wiki/Circle
en.wikipedia.org/wiki/Parabola
en.wikipedia.org/wiki/Ellipse
en.wikipedia.org/wiki/Hyperbola
en.wikipedia.org/wiki/Cubic_p...
en.wikipedia.org/wiki/Ellipti...
Modern algebraic geometry.
en.wikipedia.org/wiki/Algebra...
en.wikipedia.org/wiki/Scheme_...)
en.wikipedia.org/wiki/Formal_...
en.wikipedia.org/wiki/Ind-scheme
en.wikipedia.org/wiki/Algebra...
en.wikipedia.org/wiki/Algebra...
Modern algebraic geometry version 2.
en.wikipedia.org/wiki/Algebra...
en.wikipedia.org/wiki/Gr%C3%B...
en.wikipedia.org/wiki/Cylindr...
en.wikipedia.org/wiki/Tropica...
Applications of (algebraic) geometry.
math.stackexchange.com/questi...
Pictures used.
Picture from • What is...localization?
Picture from en.wikipedia.org/wiki/Rationa...
Another picture from • What is...localization?
Picture from en.wikipedia.org/wiki/Laurent...
en.wikipedia.org/wiki/Removab...
Some books I am using (I sometimes steal some pictures from there).
agag-gathmann.math.rptu.de/cl...
www.cambridge.org/core/books/...
bertini.nd.edu/book.html
mathoverflow.net/questions/24...
Computer talk.
magma.maths.usyd.edu.au/magma...
reference.wolfram.com/languag...
#algebraicgeometry
#geometry
#mathematics
very nice and relaxing videos! Math is always such a soothing experience
Haha, I am glad that AG makes helps you relaxing. I hope you will enjoy it as well ☺
I really need to read that stanford book abt geometric algebra 😭😂 is it the sea of wisdom ??
Absolutely, its impossible to be a human being without reading the book. I never read it 🤣