2015 Fiscal Year Final Research Report
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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| Keywords | 相対的双曲群 / 粗幾何 / 幾何学的群論 |
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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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| Free Research Field |
幾何学
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