| Project/Area Number |
23340016
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Nagoya University |
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Principal Investigator |
HESSELHOLT LARS 名古屋大学, 多元数理科学研究科, 教授 (10436991)
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| Project Period (FY) |
2011-04-01 – 2016-03-31
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| Project Status |
Declined (Fiscal Year 2015)
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| Budget Amount *help |
¥17,940,000 (Direct Cost: ¥13,800,000、Indirect Cost: ¥4,140,000)
Fiscal Year 2015: ¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2014: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2013: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2012: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2011: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
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|---|
| Keywords | Real algebraic K-theory / De Rham-Witt complex / 実代数K理論 / 同変安定ホモトピー論 / 実代数的K-理論 / 双対性を持つ圏 / 安定同変ホモトピー理論 / グロタンディエクーヴィット群 |
|---|
| Outline of Annual Research Achievements |
I visited the University of Copenhagen in the spring semester again this year to complete the mathematical part of my joint work with Professor Ib Madsen on real algebraic K-theory. We have decided to publish our work as a book, which will contain the foundational material necessary, the definition of real algebraic K-theory, the proofs of the real group-completion theorem and the real additivity theorem, and a number of applications. A preliminary version of the book, which presently contains the full proof of the real group-completion theorem, has been made available www.math.nagoya-u.ac.jp/~larsh/papers/s05, where also future updates may be found. In addition, my paper "The big de Rham-Witt complex" was published in Acta Mathematica.
The material mentioned above was presented in numerous invited lectures, including conferences at Bonn, Regensburg, and Vienna; colloquia at Stanford and Indianapolis; and seminars at MIT and ANU.
Professors Michael Hopkins of Harvard University and John Greenlees of Sheffield University visited Japan for one week and two weeks, respectively.
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| Research Progress Status |
翌年度、交付申請を辞退するため、記入しない。
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| Strategy for Future Research Activity |
翌年度、交付申請を辞退するため、記入しない。
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Report
(4 results)
Research Products
(26 results)
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[Presentation] The big de Rham-Witt complex2014
Author(s)
Lars Hesselholt
Organizer
Number Theory and Non-Commutative Geometry
Place of Presentation
Hausdorff Research Institute for Mathematics, Bonn, Germany
Year and Date
2014-11-24 – 2014-11-28
Related Report
Invited
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[Presentation] W(t)2012
Author(s)
L. Hesselholt
Organizer
Witt Vectors in arithmetic, geometry, and topology
Place of Presentation
University of New Mexico, Albuquerque
Related Report
Invited
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