2013 Fiscal Year Final Research Report
Study of local Langlands conjecture and harmonic analysis
| Project/Area Number |
22540018
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Kyoto University |
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Principal Investigator |
HIRAGA Kaoru 京都大学, 理学(系)研究科(研究院), 講師 (10260605)
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| Co-Investigator(Renkei-kenkyūsha) |
市野 篤史 京都大学, 大学院理学研究科, 准教授 (40347480)
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| Project Period (FY) |
2010-04-01 – 2014-03-31
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| Keywords | エンドスコピー |
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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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Research Products
(4 results)
