Maurice Auslander International Conference

莫里斯·奥斯兰德国际会议

• 批准号: 1162304
• 负责人: Gordana Todorov
• 金额: $ 4.8万
• 依托单位: Northeastern University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2012
• 资助国家: 美国
• 起止时间: 2012-02-01 至 2015-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1162304&HistoricalAwards=false
• 关键词: Maurice; Auslander; International; Conference

The 2012 Maurice Auslander International Conference will be held at the Marine Biological Laboratory in Woods Hole Massachusetts, USA on April 25-30, 2012, and the 2013 conference is also planned for April. Maurice Auslander was an influential mathematician at Brandeis University, widely known for his creation, together with Idun Reiten, of Auslander-Reiten theory. In the twenty first century, Auslander's work has become even more popular with the many fields that are applying and using this theory; particularly important is the fact that the cluster theory of Zelevinsky and Fomin, which is connected to so many different fields, is also intimately related to the representation theory of finite dimensional algebras. The proposed Maurice Auslander International Conference plans to bring together mathematicians from representation theory and related areas of combinatorics, invariant theory, non-commutative algebra, commutative algebra, homological algebra, etc. With support from the National Science Foundation, this successful yearly event will expand its participation, extend support to more graduate students and be extended to six days. There will be expository and research lectures about such topics as generalized cluster categories, including those related to surfaces, Poisson structures and their relation to cluster algebras, Brauer-Severi variety of Sklyanin algebras, universal deformation rings, quiver Grassmannians, Calabi-Yau algebras, Christoffel words and Markov numbers, Hopf algebra actions, twisted Plucker coordinates and combinatorial perfect matchings, higher Auslander algebras, MV polytopes and Nakajima quiver varieties. Many breakthrough have been presented at this conference, for example a proof of the well-known Strong No Loop Conjecture was presented for the first time in 2010.The proposed Maurice Auslander International Conference is intended to be a center of activity for this area of algebra in the United States. The conference will be a combination workshop/conference/student presentation event. Each day of the conference will start with an expository lecture by known international experts in various fields of algebra. This will be followed by at least one student presentation explaining results related to their PhD theses. The rest of the lectures will be traditional conference talks. The goal of the expository talks and student talks is to make current research in algebra accessible to graduate students and postdocs and to give beginning researchers a platform to display their achievements. We also want to introduce international leaders in our field to the young talent that we have in the US. The intent is that our young researchers will become better known in the world and will make outside contacts. Also, there is a strategic national goal that will be furthered. The US is already the leading country in many areas of mathematical research. However, it is lagging in new branches of algebra which are being developed largely in other countries. The proposed conference will help to reverse this trend. We will make these current topics more accessible and more popular.The 2012 conference will be held April 25-30, 2012, and the 2013 conference is also planned for April. More information about the Maurice Auslander International Conference can be found at http://www.math.neu.edu/~martsinkovsky/p/MADL/MADL.html

2012年Maurice Auslander国际会议将于2012年4月25日至30日在美国马萨诸塞州伍兹霍尔海洋生物实验室举行，2013年会议也计划于4月举行。莫里斯·奥斯兰德是布兰迪斯大学一位有影响力的数学家，他因与伊敦·雷滕共同创立了奥斯兰德-雷滕理论而广为人知。在21世纪，奥斯兰德的工作变得更加流行，许多领域都在应用和使用这一理论；特别重要的是，Zelevinsky和Fomin的聚类理论与许多不同的领域有关，也与有限维代数的表示理论密切相关。提议的Maurice Auslander国际会议计划将来自表示理论和相关领域的数学家聚集在一起，这些领域包括组合学、不变理论、非交换代数、交换代数、同调代数等。在美国国家科学基金会（National Science Foundation）的支持下，这个成功的年度活动将扩大参与范围，为更多的研究生提供支持，并延长至6天。将会有关于广义聚类的说教性和研究讲座，包括与曲面、泊松结构及其与聚类代数的关系、Sklyanin代数的Brauer-Severi变种、通用变形环、哆嗦格拉斯曼代数、Calabi-Yau代数、Christoffel词和Markov数、Hopf代数作用、扭曲的Plucker坐标和组合完美匹配、higher Auslander代数、MV多面体和中岛颤栗品种。在这次会议上提出了许多突破，例如在2010年首次提出了著名的强无环猜想的证明。提议的Maurice Auslander国际会议旨在成为美国这一代数领域的活动中心。这次会议将是一个研讨会/会议/学生演讲的结合活动。会议的每一天都将以代数各个领域的知名国际专家的说明性演讲开始。随后将有至少一篇学生陈述，解释与他们博士论文相关的结果。其余的讲座将是传统的会议演讲。说明性讲座和学生讲座的目标是使研究生和博士后能够接触到当前的代数研究，并为初学者提供一个展示他们成果的平台。我们还希望向我们在美国拥有的年轻人才介绍我们领域的国际领袖。这样做的目的是让我们的年轻研究人员在世界上更出名，并与外界建立联系。此外，还有一个将进一步推进的国家战略目标。美国在许多数学研究领域已经处于领先地位。然而，在其他国家正在大力发展的代数的新分支方面，它落后了。提议召开的会议将有助于扭转这一趋势。我们将使这些当前的话题更容易理解，更受欢迎。2012年的会议将于2012年4月25日至30日举行，2013年的会议也计划在4月举行。有关莫里斯·奥斯兰德国际会议的更多信息，请访问http://www.math.neu.edu/~martsinkovsky/p/MADL/MADL.html