2014 Fiscal Year Final Research Report
The study of Galois deformations and an inductive structure of their automorphy
Project/Area Number |
23740027
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Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Multi-year Fund |
Research Field |
Algebra
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Research Institution | Kagoshima University |
Principal Investigator |
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Project Period (FY) |
2011-04-28 – 2015-03-31
|
Keywords | ガロア表現 / 保型形式 / 保型性問題 / セール予想 / 法p保型形式 |
Outline of Final Research Achievements |
In this research project, the researcher carried out the program to study a correspondence between Galois representations (in the algebraic side) and automorphic forms (in the analytic side). Usually we understand it via p-adic Galois representations and it's reduction which is often called mod p representation. Then we have to divide the modularity problem into the type of mod p representation in question and plug them into the full modularity problem. In this project He studied the property of modular mod p representation so that any such representation could be reduced to a manageable class of mod p representation.
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Free Research Field |
数論
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