2017 Fiscal Year Final Research Report
Geometric approach to the local Langlands correspondence
| Project/Area Number |
26707003
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| Research Category |
Grant-in-Aid for Young Scientists (A)
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| Allocation Type | Partial Multi-year Fund |
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| Research Field |
Algebra
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| Research Institution | The University of Tokyo |
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Principal Investigator |
Imai Naoki 東京大学, 大学院数理科学研究科, 准教授 (90597775)
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| Project Period (FY) |
2014-04-01 – 2018-03-31
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| Keywords | Langlands 対応 |
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| Outline of Final Research Achievements |
We studied a geometric realization of the local Langlands correspondence.
More concretely, we constructed affinoids in the Lubin-Tate perfectoid space, which is a limit space of Lubin-Tate spaces, using CM points and showed that the etale cohomology of the reductions of formal models of the affinoids realizes the local Langlands correspondence and the local Jacquet-Langlands correspondence for simple supercuspidal representations.
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| Free Research Field |
数論
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