What are...examples of sheaves?

Goal.
Explaining basic concepts in the intersection of geometry and algebra in an intuitive way.
This time.
What are...examples of sheaves? Or: Sheaves are everywhere.
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.dtubbenhaue...
Website with exercises.
www.dtubbenhaue...
Thumbnail.
Picture from the first video slides.
Classical algebraic geometry.
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
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en.wikipedia.o...)
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
Modern algebraic geometry.
en.wikipedia.o...
en.wikipedia.o...)
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
Modern algebraic geometry version 2.
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
Applications of (algebraic) geometry.
math.stackexch...
Pictures used.
Pictures from www.sci.unich....
Picture from www.sci.unich....
mathworld.wolf...
upload.wikimed...
upload.wikimed...
Picture from • What is...category the...
Some books I am using (I sometimes steal some pictures from there).
agag-gathmann....
www.cambridge....
bertini.nd.edu...
mathoverflow.n...
Computer talk.
magma.maths.us...
reference.wolf...
#algebraicgeometry
#geometry
#mathematics

[@6388-s2n]

This is an amazing series, really well done. You get quite a kick from visualisation :))

[@VisualMath]

Thanks for the feedback, I am glad that you like the series. I enjoy doing it and your feedback is very much appreciated ☺

[@040_faraz9]

Can you make something about infinite loop spaces. I am finding it very confusing

[@VisualMath]

Oh yes, infinite loop spaces are tricky 😅
Nothing planned right now, but I will see whether they fit naturally somewhere.

[@Juniper-111]

have you seen the book sheaf theory through examples? it really focuses on sheaves outside of algebraic geometey

[@VisualMath]

I do not know the book. Sounds fantastic, I will have a look. Thanks 😄

[@Juniper-111]

found your explanations in this video kinda confusing

[@VisualMath]

Hmm, sorry to hear that. Let us try to improve: can you help me and be specific?