2009 Fiscal Year Final Research Report
Iwasawa conjecture for a hyperbolic threefold and its application to number theory
| Project/Area Number |
18540203
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Global analysis
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| Research Institution | Chiba University |
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Principal Investigator |
SUGIYAMA Kennichi Chiba University, 大学院・理学研究科, 教授 (90206441)
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| Co-Investigator(Renkei-kenkyūsha) |
KUGA Kennichi 千葉大学, 大学院・理学研究科, 教授 (30186374)
TAKAGI Ryouichi 千葉大学, 大学院・理学研究科, 名誉教授 (00015562)
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| Project Period (FY) |
2006 – 2009
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| Keywords | 3次元双曲多様体 / Ruelle L-関数 / 特殊値 / 岩澤理論 / Lichtenbaum予想 |
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| Research Abstract |
We have shown a geometric analogy of Iwasawa conjecture, which is one of deep theorem in number theory, holds for a cuspidal unitary local system on a hyperbolic threefold of finite volume. We have also proved a theorem corresponding to Lichtenbaum conjecture.
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