Relatively hyperbolic structures and convergence actions of discrete groups
| Project/Area Number |
24740045
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Geometry
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| Research Institution | Ehime University |
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Principal Investigator |
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| Project Period (FY) |
2012-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 相対的双曲群 / 粗幾何 / 幾何学的群論 / 幾何学 / 粗幾何学 |
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| Outline of Final Research Achievements |
My research mainly treated relatively hyperbolic groups and related topics. Actually some properties with respect to geometric group theory, dynamical system, coarse geometry, non-commutative geometry and so on were studied. In particular some new theorems related to boundaries of relatively hyperbolic groups were proved. Such results were presented in my talks in some conferences and in papers. For example joint works with Yoshifumi Matsuda and Saeko Yamagata are related to geometric group theory and dynamical system. Also joint works with Tomohiro Fukaya deal with coarse geometric and non-commutative geometric properties.
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Report
(5 results)
Research Products
(19 results)
