What are...sheaves, take 3?
HTML-код
- Опубликовано: 7 июн 2024
- Goal.
Explaining basic concepts in the intersection of geometry and algebra in an intuitive way.
This time.
What are...sheaves, take 3? Or: Big from small.
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 www.sci.unich.it/geodeep2022/...
Another picture from www.sci.unich.it/geodeep2022/...
upload.wikimedia.org/wikipedi...
Pictures we already had on previous slides
www.google.com/url?sa=i&url=h...
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
8:41 😂😂
That is one of my favorite pictures 🤣