2017 Fiscal Year Final Research Report
On endoscopies and Langlands correspondences for reductive groups and its covering groups.
| Project/Area Number |
26400010
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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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, 理学研究科, 講師 (10260605)
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| Project Period (FY) |
2014-04-01 – 2018-03-31
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| Keywords | 簡約代数群の被覆群の表現 |
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| Outline of Final Research Achievements |
Langlands correspondence and Langlands functoriality are major problems in number theory. Endoscopies are special types of Langlands functoriality and the theory of the ones corresponding to the classical groups are drastically developed recently.
Contrary to this, very few is known about endoscopies for covering groups. In this study, we obtained basic results relating to the endoscopic transfer for a small covering group and the trace formula for another small covering group.
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| Free Research Field |
整数論
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