2013 Fiscal Year Final Research Report
Research on Galois representations by local methods
| Project/Area Number |
23740013
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Algebra
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| Research Institution | The University of Tokyo (2013)
Kyoto University (2011-2012) |
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Principal Investigator |
IMAI Naoki 東京大学, 数理(科)学研究科(研究院), 准教授 (90597775)
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| Project Period (FY) |
2011 – 2013
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| Keywords | Galois 表現 |
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| Research Abstract |
We studied a geometric realization of the local Langlands correspondence.
More specifically, we constructed a family of affinoids in the Lubin-Tate perfectoid space, which is a limit space of Lubin-Tate spaces, and proved that the cohomology of the reductions realizes the local Langlands correspondence and the local Jacquet-Langlands correspondence for the epipelagic representations in the tame case.
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