2011 Fiscal Year Final Research Report
Development and Applications of Arithmetic Topology
| Project/Area Number |
21340010
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (B)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | Kyushu University |
|---|
Principal Investigator |
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
河野 俊丈 東京大学, 数理科学研究科, 教授
栗原 将人 慶応義塾大学, 理工学部, 教授
坂内 健一 慶応義塾大学, 理工学部, 講師
田口 雄一郎 九州大学, 数理学研究院, 准教授
寺嶋 郁二 東京工業大学, 理工学研究科, 助教
|
|---|
| Project Period (FY) |
2009 – 2011
|
| Keywords | 結び目 / 素数 |
|---|
| Research Abstract |
Based on the analogies between knots and primes, I found a new branch of mathematics, called arithmetic topology, focused upon the analogies between knot theory and number theory. I wrote a book giving a foundation of this field. As applications, I studied some analogies between 3-dimensional hyperbolic geometry, Chern-Simons theory and Hida theory. I also organized international workshops,“Low dimensional topology and number theory", every year during 2009. 2012.
|
Research Products
(18 results)
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
[Remarks] Low dimensional topology and number theory II, 2010, 3月,東京
-
[Remarks] Low dimensional topology and number theory III, 2011, 3月,福岡
-
[Remarks] Low dimensional topology and number theory IV, 2012, 3月,福岡
-
