| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Outline of Final Research Achievements |
Periods and Fourier coefficients of automorphic forms are generalized to automorphic representations. We hope to extend the various arithmetic properties of former objects to automorphic representations. For this we need to describe local properties of automorphic representations. Recently, the automorphic representations of classical groups are classified in terms of the theory of (twisted) endoscopy. We revise the local theory of this classification for low rank groups using specific normalizations which are useful for the study of periods. Further, to analyze automorphic representations of non-quasisplit groups, we prove the Iwasawa decomposition for general reductive adele groups using the Bruhat-Tits theory.
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