| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
We studied motives, which are the objects arising from cohomology groups of algebraic varieties, and got some nice results. More precisely, we studied the periods of motives with complex multiplication and the regulator as its extension intensively. In particular, we got nice description in terms of special values of generalizaed hypergeometric functions. We hope that our results brings interesting progress on the Beilinson conjecture on special values of L-functions. This is a joint work with Noriyuki Otsubo at Chiba university. We also got a result on the conjecture of Gross and Deligne on the periods of motives with complex multiplication. This is a joint work with Fresan at ETHZ.
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