An approach to the superrigidity of infinite discrete groups via random groups
| Project/Area Number |
25287013
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Partial Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Keio University |
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Principal Investigator |
IZEKI Hiroyasu 慶應義塾大学, 理工学部(矢上), 教授 (90244409)
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| Co-Investigator(Kenkyū-buntansha) |
服部 広大 慶應義塾大学, 理工学部(矢上), 講師 (30586087)
勝良 健史 慶應義塾大学, 理工学部(矢上), 准教授 (50513298)
前田 吉昭 慶應義塾大学, 理工学部, 教授 (40101076)
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| Co-Investigator(Renkei-kenkyūsha) |
NAYATANI Shin 名古屋大学, 大学院多元数理科学研究科, 教授 (70222180)
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| Research Collaborator |
KONDO Takefumi 鹿児島大学, 理学部
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| Project Period (FY) |
2013-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥8,580,000 (Direct Cost: ¥6,600,000、Indirect Cost: ¥1,980,000)
Fiscal Year 2016: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2015: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2014: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2013: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Keywords | 離散群 / 剛性 / 調和写像 / ランダム群 / 超剛性 / 固定点性質 / 非正曲率空間 / 国際研究者交流 / 韓国：アメリカ：イスラエル |
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| Outline of Final Research Achievements |
The group is an algebraic object which also gives a description of symmetries of spaces. Some important and interesting groups often admits a property called "superrigidity", which we tried to understand as an extremal property among that involving infinite discrete groups. We could show that a fixed-point property, which should be considered to be an important aspect of superrigidity, is shared by finitely presented groups with overwhelming probability.
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Report
(6 results)
Research Products
(19 results)
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[Book] 山辺の問題2013
Author(s)
小林治、芥川和雄、井関裕靖
Total Pages
75
Publisher
日本数学会
Related Report
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