| Kusakabe Yuta | Last modified date：2024.06.03 |
Graduate School
Undergraduate School
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Homepage
https://kusakabe.github.io/
Academic Degree
Doctor of Philosophy (Science)
Country of degree conferring institution (Overseas)
No
Field of Specialization
Complex Analysis, Complex Geometry
Outline Activities
I am studying complex analysis and complex geometry, especially around the Oka principle, the homotopy principle in complex analysis, and Gromov ellipticity, the opposite of Kobayashi hyperbolicity.
The Oka principle is a heuristic principle that analytic problems on Stein manifolds have only topological obstructions, which was extolled by Thom as “the most beautiful principle in analysis” when he visited Kyushu University.
I have clarified the relationship between this analytic principle and ellipticity in complex geometry, and am currently studying the Oka principle from a broader perspective, including algebraic geometry and differential geometry.
The Oka principle is a heuristic principle that analytic problems on Stein manifolds have only topological obstructions, which was extolled by Thom as “the most beautiful principle in analysis” when he visited Kyushu University.
I have clarified the relationship between this analytic principle and ellipticity in complex geometry, and am currently studying the Oka principle from a broader perspective, including algebraic geometry and differential geometry.
Research
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