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Kanazawa Lab
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A lab that studies highly symmetric complex manifolds using algebraic geometry.
AboutAbout the lab
Studying manifolds with high symmetry
Kanazawa Lab studies a field spanning complex geometry, symplectic geometry, and mathematical physics.
In particular, the lab focuses on shapes called Calabi-Yau manifolds and on a correspondence called mirror symmetry.
Key terms
- Complex geometry
- A field of geometry that studies the properties of shapes using complex numbers as coordinates
- Calabi-Yau manifold
- A type of shape in complex geometry that has a special kind of symmetry
- Mirror symmetry
- A mathematical-physics relationship in which two seemingly different shapes correspond to each other like the front and back of the same thing
ResearchResearch themes
The lab studies a field spanning complex geometry, symplectic geometry, and mathematical physics. In particular, its research centers on Calabi-Yau manifolds and mirror symmetry.
*Illustrative imageCalabi-Yau Manifolds
From the perspectives of complex geometry and symplectic geometry, the lab studies the properties of shapes called Calabi-Yau manifolds.
*Illustrative imageMirror Symmetry
The lab studies mirror symmetry, a mathematical-physics correspondence that appears in Calabi-Yau manifolds and related objects.
MembersFaculty
- Associate ProfessorAtsushi Kanazawa
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: “CalabiYau5” Andrew J. Hanson / CC BY-SA 3.0 (cropped)
- Calabi-Yau Manifolds: “Calabi-Yau” Lunch / CC BY-SA 2.5 (cropped)
- Mirror Symmetry: “Mount Hood reflected in Mirror Lake, Oregon” Oregon's Mt. Hood Territory / Public domain (cropped)
- Related lab (本間研究室): “Spinning top shadow” Armenak Margarian / CC BY-SA 4.0 (cropped)
- Related lab (楫研究室): “Modell einer Kubik mit vier Doppelpunkten -Schilling VII, 5 - 48” Oliver Zauzig / CC BY-SA 3.0 (cropped)
- Related lab (永井研究室): “Klein bottle glass2” PaulT (Gunther Tschuch) / CC BY-SA 4.0 (cropped)
- Related lab (池田研究室): “Mathematisches-Gipsmodell.Fläche3.Ordnung - Kopie” Museopedia / CC BY-SA 4.0 (cropped)
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