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Yoshino Lab
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A lab that studies deformation spaces of Clifford-Klein forms.
AboutAbout the lab
Intuitively understanding non-Hausdorff spaces
The Yoshino Lab studies deformation spaces of Clifford-Klein forms in the fields of Lie groups and geometry.
These deformation spaces are often non-Hausdorff.
To understand such spaces intuitively, the lab is developing a method called topological blow-up.
Key terms
- Lie group
- A collection of symmetries, like rotations, that can be moved smoothly and continuously
- Clifford-Klein form
- A space obtained by dividing a highly symmetric space by the action of a discontinuous group
- Non-Hausdorff space
- A space that has distinct points that cannot be separated from each other by nearby regions that do not overlap
ResearchResearch themes
The lab's research fields are Lie groups and geometry, with Clifford-Klein forms and topological blow-up as its themes. It studies deformation spaces of Clifford-Klein forms.
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MembersFaculty
- Associate ProfessorTaro Yoshino
VoicesStudent voices
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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: “Uniform tiling 443-t01” Tom Ruen / Public domain (cropped)
- Deformation spaces of Clifford-Klein forms: “Hausdorff regular normal space diagram” Osmium2356 / CC BY-SA 4.0 (cropped)
- Related lab (Takayama Lab): “Togliatti surface” Claudio Rocchini / CC BY-SA 3.0 (cropped)
- Related lab (Kobayashi Lab): “Hyperbolic tiling 7-2 7” Double sharp (talk), based on this picture by Jim McNeill, but with the centres of the heptagrams left uncoloured to prevent colours from overlapping. Created using Tyler and Paint. / 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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