| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
|
|---|
| Outline of Final Research Achievements |
We studied relations between L-functions of arithmetic varieties and their applications to cyclotomic fields. In particular, we obtained new relations between special values of Hecke L-functions of cyclotomic fields and motivic cohomology of Fermat motives, in terms of generalized hypergeometric functions. On the other hand, we defined a new class of families of varieties called hypergeometric fibrations, and for such families, proved the Gross-Deligne conjecture on periods and expressed the regulators in terms of generalized hypergeometric functions. Moreover, we determined the structure of the profinite homology of the tower of Fermat curves, and by using this, gave a simple construction of Ihara-Anderson's universal measure of Jacobi sums.
|
