| Budget Amount *help |
¥5,850,000 (Direct Cost: ¥4,500,000、Indirect Cost: ¥1,350,000)
Fiscal Year 2017: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2016: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Outline of Final Research Achievements |
In order to solve "Broue's conjecture" we must have the Brauer indecomposability of the Scott modules. We proved it for some cases. As related topics of Broue's conjecture we have two conjectures, say "Alperin's weight conjecture" and "Alperin-McKay conjecture. For the case where the defect group is cyclic we have obtained three results. There is also an important notion "Endo-trivial modules" related to the conjectures. We proved it for dihedral defect groups case which had been an open problem. All the work was joint one with four persons in the UK and Germany. I gave invited talks e.g. in Oberwolfach and Jena in Germany 2015, in EPFL in Lausanne Switzerland 2016, and also in Banff Canada 2017.
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