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Oguiso Lab
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The lab studies Calabi-Yau manifolds from the perspectives of algebraic geometry and complex dynamics.
AboutAbout the lab
Exploring automorphisms of Calabi-Yau manifolds
The Oguiso Lab has mainly studied Calabi-Yau manifolds in a broad sense, within the field of algebraic geometry.
The lab currently approaches its research from the perspectives of both birational algebraic geometry and complex dynamics.
It is particularly interested in the existence of primitive automorphisms, problems related to the cone conjecture, and the problem of lifting automorphisms to characteristic zero.
Key terms
- Calabi-Yau manifold
- A manifold with special properties that plays an important role in algebraic geometry and string theory
- Automorphism
- A transformation that maps a geometric object (manifold) onto itself while preserving its structure
- Complex dynamics
- The field that studies how points move when a map is applied repeatedly over the complex numbers
ResearchResearch themes
The lab has mainly studied Calabi-Yau manifolds in a broad sense. It investigates problems related to automorphisms from the perspectives of both birational algebraic geometry and complex dynamics.
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MembersFaculty
- ProfessorKeiji OguisoPublications ↗
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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: “Calabi yau” Jbourjai / Public domain (cropped)
- Calabi-Yau manifolds in a broad sense: “Espace de Calabi-Yau” Rogilbert / Public domain (cropped)
- Related lab (Ito Lab): “Tetrahedroid” Salix alba / CC BY-SA 4.0 (cropped)
- Related lab (Kawakami Lab): “BarthSextic” Mike Williams / Public domain (cropped)
- Related lab (Kelly Lab): “Spectral Sequence Visualization” L.penguu / CC BY-SA 4.0 (cropped)
- Related lab (Gongyo Lab): “Mathematisches-Gipsmodell.Fläche3.Ordnung - Kopie” Museopedia / CC BY-SA 4.0 (cropped)
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