| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2020: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2019: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
1)A natural parametrization of the regular irreducible complex linear representations of the finite group defined as a finite reduction of a group scheme defined over the integer ring of a non-Archimedian local foiled is given. The results are presented by Regular irreducible representations of classical groups over finite quotient rings (Pacific Journal of Mathematics (2021) 221-256)
2) As an application of the results of 1), certain supercuspidal representations of the symplectic group and the special linear group over non-Archimedian local field are explicitely constructed, and the formal degree conjecture and the root number conjecture are verified.THe results are presentated by On certain supercuspidal representations of symplectic groups associated with tamely ramified extensions : the formal degree conjecture and the root number conjecture (arXiv:2109.07124).
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