Study of mod p representations of p-adic groups
| Project/Area Number |
26707001
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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 | Hokkaido University |
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Principal Investigator |
Abe Noriyuki 北海道大学, 理学研究院, 准教授 (00553629)
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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 |
¥11,830,000 (Direct Cost: ¥9,100,000、Indirect Cost: ¥2,730,000)
Fiscal Year 2017: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2016: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2015: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2014: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
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| Keywords | 既約表現 / p進群 / 法p表現 / p進簡約群 |
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| Outline of Final Research Achievements |
Langlands conjecture is a conjecture which includes, for example, Femrat's conjecture. Representation theory of p-adic groups is a part of this conjecture. I studied modulo p representations of p-adic groups. I proved a classification theorem of such representations (with collaborators) and the images of certain functors of these representations are calculated. I also studied pro-p-Iwahori Hecke algebra which plays an important role in the proof of the classification theorem. I classified simple modules, calculated extensions between simple modules and studied the relations between modulo p representations.
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Report
(5 results)
Research Products
(30 results)
