2011 Fiscal Year Final Research Report
Moduli space of minimal surfaces with Galois Theory
| Project/Area Number |
20740042
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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 |
Geometry
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| Research Institution | Saga University |
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Principal Investigator |
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| Project Period (FY) |
2008 – 2011
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| Keywords | 極小曲面 / モジュライ空間 / ガロア理論 |
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| Research Abstract |
We usually call the set of all minimal surfaces" Moduli space of minimal surfaces". To consider the Moduli space of minimal surfaces, it is important to study Period map on the Moduli space of minimal surfaces. We have calculated periods of many examples of minimal surfaces. From the experiences, we conjecture that there may be symmetry by solvable group in Galois Theory. Thus, we will establish the Moduli theory of minimal surfaces in terms of the Galois Theory.
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