| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2020: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
We succeeded in establishing the theory of Euler-Kolyvagin systems and gave a partial solution to higher rank Iwasawa main conjectures as an application of our theory. Furthermore, we formulated an Iwasawa main conjecture for a general motive and gave a strategy for solving the Tamagawa number conjecture. We particularly studied Kato's Euler system for elliptic curves in detail and gave a partial solution to the Mazur-Tate conjecture. We also gave a natural strategy for solving the Birch-Swinnerton-Dyer conjecture. Lastly, we gave analogous results for the Heegner point Euler system.
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