| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
Celebrated theory of mixed motives, due to Voevodsky, is yet to be extended in order to take into account non-homotopy invariant objects. Indeed, there are fundamental objects, such as relative Picard group of an algebraic curve, that are not homotopy invariant. By taking Weil reciprocity in the place of homotopy invariance, we established a theory of `reciprocity presheaves', which is expected to become a foundation for an extended motive theory encompassing non-homotopy invariant objects.
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