Budget Amount *help |
¥10,140,000 (Direct Cost: ¥7,800,000、Indirect Cost: ¥2,340,000)
Fiscal Year 2020: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2019: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2018: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2017: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
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Outline of Final Research Achievements |
My research achievements is concerned with deepening and new developments of arithmetic topology.The outline is as follows.(1) I solved the problem posed by Deninger jointly with J. Kim, T. Noda and Y. Terashima.Namely, we showed a dynamical analog of Hilbert reciprocity law for 3-dimensional foliated dynamical system. Moreover we gave a classification of 3-dimensiona foliated dynamical systems. We published the paper on this research and I gave invited talks at conferences in Germany and US etc. (2) I constructed an arithmetic analog of (2+1)-dimensional Dijkgraaf-Witten topological quantum field theory for number rings jointly with H. Hirano and J. Kim.We published the paper on this research and I gave invited online talks at various conference and seminars. I also held the workshop at Edinburgh ``Gauge fields in Arithmetic, Topology and Physics".
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