| Project/Area Number |
19J12024
|
|---|
| Research Category |
Grant-in-Aid for JSPS Fellows
|
| Allocation Type | Single-year Grants |
|---|
| Section | 国内 |
|---|
| Review Section |
Basic Section 11010:Algebra-related
|
|---|
| Research Institution | Hokkaido University |
|---|
Principal Investigator |
TRAN NHAT TAN 北海道大学, 理学研究院, 特別研究員(PD)
|
|---|
| Project Period (FY) |
2019-04-25 – 2021-03-31
|
| Project Status |
Completed (Fiscal Year 2020)
|
| Budget Amount *help |
¥1,900,000 (Direct Cost: ¥1,900,000)
Fiscal Year 2020: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2019: ¥1,000,000 (Direct Cost: ¥1,000,000)
|
|---|
| Keywords | Combinatorics / Hyperplane Arrangement / Eulerian polynomial / Free arrangement / Graph coloring / Ricci curvature / hyperplane arrangement / quasi-polynomial / root system / matroid / Tutte polynomial |
|---|
| Outline of Research at the Start |
We introduce and study the notion of the G-Tutte polynomials through combinatorial, topological and enumerative aspects. The G-Tutte polynomial generalizes several well-studied polynomials, including (arithmetic) Tutte polynomials and characteristic quasi-polynomials.
|
| Outline of Annual Research Achievements |
In this fiscal year, I have been working on a number of projects focused on combinatorics of hyperplane arrangements:
1. (joint with A. Tsuchiya (Tokyo)) Log-concavity of A-Eulerian polynomial (a new concept introduced in a recent paper of A. U. Ashraf (Western Ontario), M. Yoshinaga (Hokkaido) and myself) of cocomparability graphs
2. (joint with T. Abe (Kyushu) and S. Tsujie (Hokkaido)) The freeness of arrangements “between Shi and Ish” (introduced by Duarte and Guedes de Oliveira)
3. (joint with H. C. Mai (Kyoto)) Applications of Ricci curvature to graph colorings
4. (joint with A.Higashitani (Osaka)) Period collapse of characteristic quasi-polynomials using mutations from algebraic geometry
|
| Research Progress Status |
令和2年度が最終年度であるため、記入しない。
|
| Strategy for Future Research Activity |
令和2年度が最終年度であるため、記入しない。
|
