2010 Fiscal Year Final Research Report
Rigid geometry and its applicative developments
| Project/Area Number |
20540015
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | Kyoto University |
|---|
Principal Investigator |
KATO Fumiharu Kyoto University, 大学院・理学研究科, 准教授 (50294880)
|
|---|
| Project Period (FY) |
2008 – 2010
|
| Keywords | リジッド幾何学 / モジュライ理論 |
|---|
| Research Abstract |
We have obtained numerous useful and essential results in topological feature of Zriski-Riemann spaces associated to rigid spaces and their ring-theoretic bases, which provide foundations of rigid geometry itself with the perspective of future applications. In doing so, we have found several new perspectives for some "immediate" applications in, for example, mathematical physics and non-archimedean uniformizaions. In the latter field, in particular, one has a new approach to higher dimensional uniformizations, which yields several new results on discrete lattices, by means of the orbifold-like techniques, already known in one dimensional situation.
|
