| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
In this research, we investigated properties of special values of (p-adic) L-functions and (p-adic) periods associated to elliptic modular forms. Moreover we studied Iwasawa main conjecture and Beilinson conjecture. In joint work with M.-L. Hsieh, we constructed anticyclotomic p-adic L-functions for elliptic modular forms and showed one-sided divisibility of anticyclotomic Iwasawa main conjecture under mild assumptions. Through joint research with F. Brunault, we also showed a weak version of Beilinson conjecture for Rankin-Selberg products of elliptic modular forms. Furthermore, in joint work with Satoshi Kondo and Takuya Yamauchi, we studied algebraic K-group of curves of GL(2)-type over function fields and proved a result on surjectivity of boundary maps.
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