| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
|
|---|
| Outline of Final Research Achievements |
I worked on a relation between the etale cohomology of Rapoport-Zink spaces and the local Langlands correspondence. In the case where the Rapoport-Zink spaces are attached to smaller groups GSp(4) and GU(3), I obtained some new results such as the investigation of the cohomology via the Lefschetz trace formula, and the relation between cohomology and the Zelevinsky involution. These had been observed only in the case of GL(n).
Moreover, I tried to find new methods which are applicable to the case of larger groups. I proved the general finiteness result on representations appearing in the cohomology, and found the relation between the Lubin-Tate space over an equal characteristic local field and the Kloosterman sheaves. I think that these results will be a starting point of further studies in this area.
|
