| Budget Amount *help |
¥15,730,000 (Direct Cost: ¥12,100,000、Indirect Cost: ¥3,630,000)
Fiscal Year 2019: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2018: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2017: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2016: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2015: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
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| Outline of Final Research Achievements |
Starting from minimal surfaces, we developed the research into the theory of harmonic maps, which further goes to the theory of integrable systems through the 2D Toda equations. The theory of isoparametric hypersurfaces also appears as a geometry of wave fronts which concerns integrable systems. We solved one of the most difficult classification problems in 2016, and the remaining case was solved by Q.S.Chi. The Gauss image L of isoparametric hypersurfaces gives a rich family of nice examples of minimal Lagrangian submanifolds in certain symplectic manifold, including infinitely many non-homogeneous ones. We are interested in their Floer homology, and proved the Hamiltonian non-displaceability of L except for 4 non-simply connected cases. We are now challenging these 4 remaining cases.
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