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Asuke Lab
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The lab studies collections of holomorphic transformations through their invariants and dynamical systems.
AboutAbout the lab
Exploring the properties hidden in collections of transformations
The Asuke Lab studies pseudogroups and pseudo-semigroups formed by holomorphic local diffeomorphisms, in the field of differential topology.
The lab focuses on their invariants and their properties as dynamical systems.
Key terms
- Local diffeomorphism
- A map that sends a part of a shape smoothly to another part, in a way that can also be traced backward
- Pseudogroup
- A collection of transformations that map parts of a shape to other parts. Composing them or taking their inverses gives transformations that are still in the collection
- Dynamical system
- A way of studying how points move when a transformation is applied over and over
ResearchResearch themes
The lab's field is differential topology, and its theme is the properties of pseudogroups and pseudo-semigroups formed by holomorphic local diffeomorphisms. The lab focuses on invariants and dynamical properties.
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MembersFaculty
- Associate ProfessorTaro Asuke
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Reeb foliation half-torus POV-Ray” Ilya Voyager / CC0 (cropped)
- Holomorphic Pseudogroups and Pseudo-semigroups: “Julia set (highres 01)” Solkoll / Public domain (cropped)
- Related lab (Sakasai Lab): “Triple torus illustration” Oleg Alexandrov / Public domain (cropped)
- Related lab (Habiro Lab): “3D Borromean Rings” Jim.belk / Public domain (cropped)
- Related lab (Ueda Lab): “Quintic 1” The original uploader was Floriang at German Wikipedia. / CC BY-SA 3.0 (cropped)
- Related lab (Konno Lab): “Hopf Fibration” Niles Johnson / CC BY 4.0 (cropped)
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