What are...tropical applications – part 2? скачать в хорошем качестве

What are...tropical applications – part 2?

Goal. Hi, I’m Daniel Tubbenhauer, but feel free to call me Dani (they/them). This is a personal and informal exploration of tropical geometry and its fascinating role in modern mathematics. At its heart, tropical geometry blends algebra, geometry, and combinatorics in a surprisingly intuitive way, turning complex problems into something more tangible. It’s a field that’s both abstract and visual, offering new perspectives on classical mathematics. This video series will document my journey as I dive into this subject and share what I learn along the way. This time. What are...tropical applications – part 2? Or: Phylogenetic trees. Disclaimer. Nobody is perfect, and I might have said something silly. If there’s any doubt, please check the references. Slides. http://www.dtubbenhauer.com/youtube.html TeX files for the presentation. https://github.com/dtubbenhauer/My-Te... Thumbnail. A picture generated from AI YouTube templates. References. https://mathoverflow.net/questions/84... "Introduction to Tropical Geometry" by Diane Maclagan and Bernd Sturmfels https://janos.cs.technion.ac.il/COURS... Main discussion. https://en.wikipedia.org/wiki/Tropica...    • What is...tropical geometry?   Background material. https://en.wikipedia.org/wiki/Tropica... https://en.wikipedia.org/wiki/Max-plu... https://en.wikipedia.org/wiki/Newton_... https://en.wikipedia.org/wiki/Algebra... https://en.wikipedia.org/wiki/Polyhed... https://en.wikipedia.org/wiki/Combina... https://en.wikipedia.org/wiki/Matroid... https://en.wikipedia.org/wiki/Tropica... https://en.wikipedia.org/wiki/Amoeba_...) https://en.wikipedia.org/wiki/Valuati...) https://en.wikipedia.org/wiki/Optimiz...) https://en.wikipedia.org/wiki/Linear_... https://en.wikipedia.org/wiki/Graph_t... https://en.wikipedia.org/wiki/Computa... https://en.wikipedia.org/wiki/Tropica... (for applications in cryptography) https://en.wikipedia.org/wiki/Phyloge... (for applications in biology) https://en.wikipedia.org/wiki/Mirror_...) (for connections to physics) Computer talk. https://arxiv.org/pdf/2304.10130 https://polymake.org/doku.php (Polymake: software for polyhedral and tropical geometry computations) https://www.sagemath.org/ (SageMath: includes tropical geometry modules) https://doc.sagemath.org/html/en/refe... (Example) https://macaulay2.com/ (Macaulay2: algebraic geometry software with tropical capabilities) https://openscad.org/ (For solidifying the tropical models) Pictures used. Picture from https://en.wikipedia.org/wiki/Phyloge... Picture from https://www.kuniga.me/blog/2019/05/10... Picture from    • What are...Grassmanians?   Picture from https://arxiv.org/abs/2506.18918 Another picture from https://en.wikipedia.org/wiki/Phyloge... YouTube and co.    • Tropical Geometry - Lecture 1 - Plane Curv...      • An introduction to tropical geometry: theo...      • What is...algebraic geometry?   (Shameful selfpromotion; for algebraic geometry) #mathematics #tropicalgeometry #combinatorics