2010 Fiscal Year Final Research Report
On isomorphism problems on universal deformation rings and universal modular deformation rings for residual modular Galois representations
| Project/Area Number |
21740031
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Kyoto Sangyo University |
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Principal Investigator |
YAMAGAMI Atsushi Kyoto Sangyo University, 理学部, 准教授 (00440876)
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| Project Period (FY) |
2009 – 2010
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| Keywords | p-進保型形式 / ヘッケ環 / ガロア表現 |
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| Research Abstract |
In the p-supersingular case, I constructed p-adic analytic families of elliptic eigenforms of infinite slope. Also, in the p-supercuspidal case, I proved that it is impossible to construct any p-adic analytic family of elliptic eigenforms of infinite slope by the base change theory with p-adic analytic families of Hilbert eigenforms of finite slope, or the Jacquet-Langlands correspondence with automorphic forms on definite quaternion algebras.
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