| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Research Abstract |
The Langlands conjecture is important in the field of number theory. It predicts a good relation between the representations of the reductive groups and the Galois representations.
In this research, the Kottwitz-Shelstad conjecture, which can be regarded as a relation between an invariant of a representation of SL(N) and an invariant of the corresponding Galois representation, is proved.
On the other hand, one of the important parts of the Langlands conjecture is the endoscopy. In this research, the endoscopy for the covering groups of SL(2) is studied and the Kohnen plus space is generalized to the totally real number field case.
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