What are...regular functions? 

Goal.
Explaining basic concepts in the intersection of geometry and algebra in an intuitive way.
This time.
What are...regular functions? Or: Analogs of continuous functions.
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.
Warning.
There is a typo on the last slide: it should be wz - yx = 0. See the comments below.
Slides.
www.dtubbenhaue...
Website with exercises.
www.dtubbenhaue...
Thumbnail.
Picture from the first video slides.
Classical algebraic geometry.
en.wikipedia.o...
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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.
en.wikipedia.o...
en.wikipedia.o...
Pictures from en.wikipedia.o...
/ 1*q2cx7aqtgm1phaipjj0x...
en.wikipedia.o...
Some books I am using (I sometimes steal some pictures from there).
agag-gathmann....
www.cambridge....
bertini.nd.edu...
mathoverflow.n...
Picture created using reference.wolf...
Computer talk.
magma.maths.us...
reference.wolf...
#algebraicgeometry
#geometry
#mathematics