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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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥9,750,000 (Direct Cost: ¥7,500,000、Indirect Cost: ¥2,250,000)
Fiscal Year 2017: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2016: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2015: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2014: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
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| Keywords | Langlands 対応 / 代数学 |
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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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Report
(5 results)
Research Products
(18 results)
