| Budget Amount *help |
¥10,530,000 (Direct Cost: ¥8,100,000、Indirect Cost: ¥2,430,000)
Fiscal Year 2019: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2018: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2017: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2016: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
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| Outline of Final Research Achievements |
There are two main results of the research project. First of all, Deligne conjectured that the p-adic coefficients theory and l-adic coefficients theory for varieties over finite field should be "equivalent" in some sense. I proved one direction of this conjecture, namely the direction to construct l-adic coefficients out of p-adic coefficients, together with Prof. Esnault.
The other result is to show some fundamental results to apply the method of semistable reduction theorem for isocrystals, which could be regarded as a fundamental theorem for p-adic cohomology theory, to the theory of characteristic cycles for l-adic coefficients. The results consist of two parts. One is to show a certain convergence of a sequence needed to define characteristic cycles, and the other is to construct an infinity enhancement of motivic cohomology theory which is expected to be used in the future project.
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