2010 Fiscal Year Final Research Report
Study on Geometric group theory
| Project/Area Number |
19340013
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (B)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Geometry
|
|---|
| Research Institution | Tohoku University |
|---|
Principal Investigator |
FUJIWARA Koji Tohoku University, 大学院・情報科学研究科, 教授 (60229078)
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
MORITA Shigeyuki 東京大学, 数理科学研究科, 名誉教授 (70011674)
SHIOYA Takashi 東北大学, 大学院・理学研究科, 教授 (90235507)
|
|---|
| Project Period (FY) |
2007 – 2010
|
| Keywords | 双曲群 / 写像類群 / 擬準同型 / 漸近次元 / 中心極限定理 / カーブグラフ |
|---|
| Research Abstract |
Hyperbolic group was invented by Gromov in 80's. We aim to use hyperbolicity in broader objects. We constructed many quasi-homomorphisms on Kac-Moody groups. We obtained a first finitely presented, simple group with infinite commutator width (with Caprace). Using quasi-homomorphisms, we characterized rank-1 manifolds among complete Riemann manifold of non-positive curvature of finite volume (with Bestvina).
|
Research Products
(34 results)
