What are...examples of regular functions?

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  • 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

КОМЕНТАРІ • 4

  • @user-qp2ps1bk3b
    @user-qp2ps1bk3b Місяць тому

    very nice and relaxing videos! Math is always such a soothing experience

    • @VisualMath
      @VisualMath  Місяць тому

      Haha, I am glad that AG makes helps you relaxing. I hope you will enjoy it as well ☺

  • @Vannishn
    @Vannishn Місяць тому +1

    I really need to read that stanford book abt geometric algebra 😭😂 is it the sea of wisdom ??

    • @VisualMath
      @VisualMath  Місяць тому +1

      Absolutely, its impossible to be a human being without reading the book. I never read it 🤣