| Budget Amount *help |
¥14,950,000 (Direct Cost: ¥11,500,000、Indirect Cost: ¥3,450,000)
Fiscal Year 2011: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2010: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2009: ¥7,540,000 (Direct Cost: ¥5,800,000、Indirect Cost: ¥1,740,000)
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| Research Abstract |
The definition of hyperplane arrangements is, like groups and rings, deceptively simple but they are not simplistic objects. In the first year of this research project, we successfully constructed a research network encompassing specialties and generations in order to understand diversified viewpoints of hyperplane arrangements in a wide spectrum and to hold a commanding position for advancing the research. Consequently, we studied the subject from various viewpoints including combinatorics, algebraic geometry, group theory, Lie algebra theory and statistics and described their mutual relations. The most conspicuous example is the relationship between the Weyl arrangements and the Bernoulli polynomials, which was discovered by us in 2010. It has been scrutinized and expected to develop further.
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