| Budget Amount *help |
¥16,640,000 (Direct Cost: ¥12,800,000、Indirect Cost: ¥3,840,000)
Fiscal Year 2019: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2018: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2017: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2016: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2015: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
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| Outline of Final Research Achievements |
Shimura varieties are algebraic varieties obtained as arithmetic quotients of Hermitian symmetric spaces, and local Shimura varieties are their local counterparts. I studied them mainly by using p-adic geometric technique. First, for a fairly wide class of Shimura varieties, called the preabelian type, I constructed the potentially good reduction loci and proved that they have almost the same etale cohomology as that of the whole Shimura varieties. I also introduced a new method computing the etale cohomology of local Shimura varieties by means of their modulo p reductions, and apply it to study the explicit local Langlands correspondence for GL(n). I investigated the local Shimura variety for GSp(4) in detail, and obtained results on relation between its etale cohomology and the local Langlands correspondence.
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