| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2017: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
As a compactification of the projective linear group PGL(V), I have proposed PM(V). It is a compact topological space including PGL(V) as a dense open subset, and it is a monoid acting on the projective space P(V). In addition, I have related it to the well-known compactification -- the wonderful compactification of PGL(V).
In collaboration with Hiroyasu Takeda, I have made a description of the process of confluence of hypergeometric systems a la Gel’fand, as a limit under the adjoint action of a principal nilpotent p-tuple generalizing a principal nilpotent element.
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