| Budget Amount *help |
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2011: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Research Abstract |
In this work, I tried to construct a foundational theory of p-adic cohomology. First, I proved the Cebotarev density type theorem, which states that we can retrieve p-adic differential equation when we look at the Frobenius action, and established the theory of weights in p-adic cohomology theorem as well as the purity for the intersection cohomology. These results are expected to be applied to the “petits camarades conjecture” by Deligne claiming that the p-adic and l-adic cohomology theories have essentially the same information.
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