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年莫里斯·奥斯兰德国际会议将于2012年4月25日至30日在美国马萨诸塞州伍兹霍尔的海洋生物实验室举行，2013年的会议也计划于4月举行。莫里斯·奥斯兰德（Maurice Auslander）是布兰代斯大学（Brandeis University）的一位有影响力的数学家，他的创作与艾斯兰德·雷坦理论（Auslander-Reiten Theory）的创作众所周知。在二十世纪，奥斯兰德的作品在适用和使用该理论的许多领域变得更加流行。尤其重要的是，与许多不同领域有关的Zelevinsky和Fomin的群集理论也与有限维代数的表示理论密切相关。拟议的莫里斯·奥斯兰德国际会议计划将来自代表理论和相关领域，不变理论，非交互性代数，通勤代数，同源代数等相关领域的数学家汇集在一起​​，在国家科学基金会的支持下，成功的年度活动将扩大其参与，将其扩展到更多的毕业生和六天。 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以及组合的完美匹配，较高的澳大利亚代数，MV多面体和中岛Quiver品种。在本次会议上已经提出了许多突破，例如，2010年首次提出了众所周知的没有循环猜想的证明。拟议的莫里斯·奥斯兰德国际会议旨在成为美国代数的活动中心。会议将是一个组合研讨会/会议/学生演讲活动。会议的每一天都将从代数的各个领域的国际专家进行说明性讲座开始。接下来是至少一个学生演讲，解释了与他们的博士学位有关的结果。其余的讲座将是传统的会议演讲。说明性谈判和学生谈判的目的是使研究生和博士后可以在代数方面进行最新研究，并为初学者提供一个展示其成就的平台。我们还想向我们领域的国际领导人介绍我们在美国拥有的年轻人才。目的是，我们的年轻研究人员将在世界上变得更加著名，并将建立外部联系。此外，还有一个战略性的国家目标将进一步发展。在数学研究的许多领域，美国已经是领先的国家。但是，它落在了代数的新分支中，这些分支在其他国家主要开发。拟议的会议将有助于扭转这一趋势。我们将使这些当前的主题更容易访问和更受欢迎。2012年会议将于2012年4月25日至30日举行，2013年的会议也计划于4月举行。 有关Maurice Auslander国际会议的更多信息，请访问http://www.math.neu.edu/~martsinkovsky/p/madl/madl/madl.html