Hyperplane Arrangements and Arrow's Impossibility Theorem
| Project/Area Number |
23654001
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Algebra
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| Research Institution | Hokkaido University |
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Principal Investigator |
TERAO Hiroaki 北海道大学, 理学(系)研究科(研究院), 教授 (90119058)
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| Research Collaborator |
SETTEPANELLA Simona 北海道大学, 大学院・理学研究院, 特任講師 (40721890)
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| Project Period (FY) |
2011 – 2013
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 代数的組み合わせ論 / 超平面配置 / アローの不可能性定理 / 代数的組合せ論 |
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| Research Abstract |
The main purpose of this research was to apply the theory of hyperplane arrangements to social sciences. We, however, need a tremendous amount of energy to jump over a gaping divide between two different research areas. To seek for breakthroughs, we organized international seminars in the AY 2011 and AY 2012. As a result of the endeavour, a place where mathematicians and social scientists work together was created.
Explicitly speaking, S. Settepanella(Labo. of Econ. and Man., Scu. Sup. Sant'Anna (Pisa, Italy) before she moved to Hokkaido University in August, 2013) and I are at the center of the activities enabling various applications of hyperplane arrangements to the social choice theory and the decision theory.
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Report
(4 results)
Research Products
(48 results)
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[Presentation] The Shi arrangements and the Bernoulli numbers2011
Author(s)
Hiroaki Terao
Organizer
the Special Session on "The Algebraic Geometry and Topology of Hyperplane Arrangements" at an AMS Sectional Meeting
Place of Presentation
College of the Holy Cross, Worcester, MA, USA
Year and Date
2011-04-09
Related Report
Invited
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