| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
|
|---|
| Outline of Final Research Achievements |
A moment map is defined when a Lie group acts on a symplectic manifold with certain conditions. In this project, we gave new applications of the geometry of moment maps. Firstly, we studied geometric quantization to clarify a mathematical reason for the polarization-independent principles in physics. In particular, we described the relation among Kahler polarizations and real polarizations on flag manifolds. Secondly, we construct various concrete examples of Lagrangian mean curvature flows in Calabi-Yau manifolds. We also described the structure of the singularities of these flows.
|
