Representation theory of orders

阶表示论

• 批准号: 21740010
• 负责人: IYAMA Osamu
• 金额: $ 2.66万
• 依托单位: Nagoya University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Young Scientists (B)
• 财政年份: 2009
• 资助国家: 日本
• 起止时间: 2009 至 2011
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21740010/
• 关键词: 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

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".

研究了较高的尺寸澳大利亚理论。我的结果在16篇论文中发表（有11篇论文进行了审查）。我在国际或国内会议上进行了51次讲座，并进行了课程（邀请了41次讲座）。 2010年3月，我通过“代数和科恩·麦克劳莱模块的代表理论研究”获得了日本数学社会的春季奖。在2011年3月，我获得了JSPS奖“代表订单理论”。

项目成果

On the Noncommutative Bondal-Orlov Conjecture

• DOI: 10.1515/crelle-2012-0001
• 发表时间: 2011-01
• 期刊: arXiv: Algebraic Geometry
• 作者: O. Iyama;M. Wemyss

Silting mutation in triangulated categories

• DOI: 10.1112/jlms/jdr055
• 发表时间: 2010-09
• 期刊: Journal of the London Mathematical Society
• 作者: T. Aihara;O. Iyama

n-representation finite algebras, Homological and geometric methods in algebra(招待講演)

n-表示有限代数、代数中的同调和几何方法（特邀报告）

• 发表时间: 2009
• 作者: Osamu Iyama;Michael Wemyss;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama
• 通讯作者: Osamu Iyama

Introduction to cluster tilting in 2-Calabi-Yau categories

2-Calabi-Yau 类别中的簇倾斜简介

• 发表时间: 2009
• 作者: Osamu Iyama;Michael Wemyss;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama
• 通讯作者: Osamu Iyama

箙の変異と団傾理論

箭袋突变与群体倾向理论

• 发表时间: 2010
• 作者: Osamu Iyama;Michael Wemyss;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama;Osamu Iyama
• 通讯作者: Osamu Iyama