| Budget Amount *help |
¥22,230,000 (Direct Cost: ¥17,100,000、Indirect Cost: ¥5,130,000)
Fiscal Year 2019: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2018: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2017: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2016: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2015: ¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
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| Outline of Final Research Achievements |
We studied p-adic Hodge theory for p-adic perverse sheaves，p-adic Simpson correspondence, local Iwasawa theory for Lubin-Tate extensions, and integral p-adic Hodge theory. We obtained a comparison theorem for p-adic perverse sheaves with the stratification along a simple normal crossing divisor, an analogue of local p-adic correspondence for arithmetic fundamental group, and a formulation of a conjecture on multivariable explicit reciprocity law in local Iwasawa theory for Lubin-Tate extensions (under certain restrictions on Galois representations). We also developed a theory of relative Breuil-Kisin-Fargues modules as coefficients of the integral p-adic Hodge theory of Bhatt-Morrow-Scholze.
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