| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
The aim was to understand better the Langlands correspondence using motivic homotopy theory. From the topological point of view, we constructed a structure called modular operad (concerning the composition law) on the moduli of embeddings of pointed curves. Concerning the automorphic representation theory, we gave certain axioms on sites such that when they are met, the topos is equivalent to the category of representations of some locally profinite groups. The motivations of the two results above are related to motivic homotopy theory, but there is no direct technical relation. We did not obtain an application to the Beilinson conjectures.
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