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Nitta Lab
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A lab that studies complex geometry by focusing on how manifolds curve.
AboutAbout the lab
Exploring geometry through how space “curves”
The Nitta Lab studies the geometry of spaces called “manifolds,” which generalize curves and surfaces.
The lab mainly considers complex manifolds and focuses on how they “curve.”
Recently, the lab has been particularly interested in the relationship with stability in the sense of geometric invariant theory (the Yau-Tian-Donaldson conjecture).
Key terms
- manifold
- A space that generalizes curves and surfaces. The lab studies its geometry
- complex manifold
- A type of manifold. It is the main object of the lab's study, which examines it by focusing on how it “curves”
ResearchResearch themes
The Nitta Lab mainly studies complex manifolds, among manifolds, from the standpoints of differential geometry and complex geometry. Its central interest is the relationship between the existence problem for canonical Kähler metrics and stability in the sense of geometric invariant theory.
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MembersFaculty
- Associate ProfessorYasufumi Nitta
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: “First eigenspace of the Bolza surface” Joroco246 / CC BY-SA 4.0 (cropped)
- Existence of Canonical Kähler Metrics and Stability: “Geometry problem-Sb 13088-IMG 0593-white” Rama / CC BY-SA 2.0 fr (cropped)
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- Related lab (小池研究室): “Gyroid surface with Gaussian curvature” 作者不詳 / Public domain (cropped)
- Related lab (山川研究室): “Algebraic surfaces” Ashton Bradley Aspir8 / CC BY-SA 4.0 (cropped)
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