| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Research Abstract |
We studied aspects of mirror symmetry, which implies deep relationship between complex geometry and symplectic geometry, the geometries whose definitions are completely different. We made use of tropical geometry, a rather new field of research in geometry. With this new idea, we were able to describe several complicated geometric constructions in a simpler, combinatorial manner, and applied these results to mirror symmetry. Moreover, we applied our method to the study of important geometric objects such as flag manifolds or moduli space of vector bundles on Riemann surfaces.
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