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Nagai Lab
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The lab studies high-dimensional algebraic varieties through algebraic geometry.
AboutAbout the lab
Exploring the structure of high-dimensional varieties
The Nagai Lab studies algebraic geometry, in particular high-dimensional algebraic varieties.
The lab focuses on compact holomorphic symplectic Kähler manifolds and the algebro-geometric structures defined on them.
As related tools, it also studies moduli of semistable sheaves, geometric invariant theory, toric geometry, and higher-dimensional birational geometry.
Key terms
- Algebraic variety
- A basic geometric object in algebraic geometry, defined as the set of solutions to equations
- Symplectic Kähler manifold
- A geometric object that simultaneously has a special structure using complex numbers (a Kähler structure) and a structure for measuring area and volume (a symplectic form)
- Birational geometry
- A field of geometry that studies geometric objects by asking whether they can be regarded as the same over most of their parts
ResearchResearch themes
The lab studies algebraic geometry, in particular high-dimensional algebraic varieties. Its research centers on compact holomorphic symplectic Kähler manifolds and their algebro-geometric structures.
*Illustrative imageSymplectic Kähler Manifolds
The lab studies Kähler manifolds with a compact, holomorphic symplectic structure, and the algebro-geometric structures defined on them.
*Illustrative imageTools Such as Moduli and Birational Geometry
The lab advances its research using tools such as moduli of semistable sheaves, geometric invariant theory, toric geometry, and higher-dimensional birational geometry.
MembersFaculty
- ProfessorYasunari Nagai
VoicesStudent voices
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Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to Nagai Lab
Kaji LabSchool of Fundamental Science and Engineering, Department of MathematicsAlgebraic geometry
Homma LabSchool of Fundamental Science and Engineering, Department of MathematicsGeometry
Ikeda LabSchool of Fundamental Science and Engineering, Department of MathematicsGeometry, representation theory, combinatorics
Ozaki LabSchool of Fundamental Science and Engineering, Department of MathematicsAlgebraic number theoryThe information on this page is compiled by the LabLog team from the lab's public information and interviews. For corrections or removal requests, please contact LabLog, not the lab.
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: “Klein bottle glass2” PaulT (Gunther Tschuch) / CC BY-SA 4.0 (cropped)
- Symplectic Kähler Manifolds: “Naruto Whirlpools taken” Hellbuny / CC BY-SA 3.0 (cropped)
- Tools Such as Moduli and Birational Geometry: “PumpkinVariety” Cacophony / CC BY 2.5 (cropped)
- Related lab (Kaji Lab): “Modell einer Kubik mit vier Doppelpunkten -Schilling VII, 5 - 48” Oliver Zauzig / CC BY-SA 3.0 (cropped)
- Related lab (Homma Lab): “Spinning top shadow” Armenak Margarian / CC BY-SA 4.0 (cropped)
- Related lab (Ikeda Lab): “Mathematisches-Gipsmodell.Fläche3.Ordnung - Kopie” Museopedia / CC BY-SA 4.0 (cropped)
- Related lab (Ozaki Lab): “Minoritenkirche rose window - Vienna” MrPanyGoff / CC BY-SA 3.0 (cropped)
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