Representation theory of orders
| Project/Area Number |
21740010
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Nagoya University |
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Principal Investigator |
IYAMA Osamu 名古屋大学, 多元数理科学研究科, 教授 (70347532)
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 高次元Auslander-Reiten理論 / 箙(クイバー) / Cohen-Macaulay加群 / 団(クラスター)傾部分圏 / n有限表現型 / 団(クラスター)圏 / Calabi-Yau三角圏 / 導来圏 / 傾理論 / 変異 / 準傾対象 / 非可換特異点解消 / 団(クラスター)代数 / Auslander-Reiten理論 / 団（クラスター）圏 / Calabi-Yau多元環 / 導来圏同値 / 極大modification多元環 / 団傾理論 / ポテンシャル付きクイバー / 団(クラスター)傾理論 / 前射影多元環 / 団(クラスター)多元環 |
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| Research Abstract |
Studied higher dimensional Auslander-Reiten theory. My results were published in16 papers(11 papers were refereed). I gave 51 lectures in international or domestic conferences and seminers(41 lectures were invited lectures). In March 2010, I got Spring prize of Japanese mathematical society by"Study of representation theory of algebras and Cohen-Macaulay modules". On 2011 March, I got JSPS prize by"Representation theory of orders".
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Report
(4 results)
Research Products
(130 results)
