Construction of the realization functors of motives
| Project/Area Number |
25400004
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | University of Tsukuba |
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Principal Investigator |
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| Research Collaborator |
Terasoma Tomohide
Hanamura Masaki
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| Project Period (FY) |
2013-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2015: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | Hodge実現 / Hodge realization / mixed Tate motives / semi-algebraic sets |
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| Outline of Final Research Achievements |
We succeeded in the construction of the Hodge realization functor on the category of mixed Tate motives in terms of period integrals. In the next paper we will prove that the functor we have constructed is equivalent to the original one defined by Bloch and Kriz. We will also construct the Hodge realization of mixed elliptic motives, and apply our results to the study of the period conjecture formulated by Kontsevich-Zagier.
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Report
(5 results)
Research Products
(5 results)
