| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Outline of Final Research Achievements |
In this research, we studied mainly (1) Iwasawa main conjecture for nearly ordinary Hilbert cusp forms with complex multiplication (joint with Tadashi Ochiai), (2) Noncommutative Iwasawa theory for CM number fields. For (1), we established a reduction technique to deduce the cyclotomic Iwasawa main conjecture for Hilbert cuspforms with complex multiplication from the multivariable main conjecture for CM fields (the paper is now accepted and published). We are now planning to extend our result to the main conjecture of nearly ordinary Hilbert Hida families. For (2), we succeeded to describe conditions to patch the multivariable p-adic L-functions for CM number fields in several easy cases. We are now trying to extend our result to rather general extensions of CM fields, and we hope to complete the first draft of the paper soon.
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