Maurice Auslander International Conference

2012年Maurice Auslander国际会议将于2012年4月25-30日在美国马萨诸塞州的伍兹霍尔海洋生物实验室举行，2013年的会议也计划在4月举行。Maurice Auslander是布兰代斯大学的一位有影响力的数学家，他与Idun Reiten一起创立了Auslander-Reiten理论。在21世纪，Auslander的工作已成为更加流行的许多领域正在应用和使用这一理论;特别重要的是事实上，集群理论的Zelevinsky和Fomin，这是连接到这么多不同的领域，也密切相关的代表性理论的有限维代数。拟议的莫里斯Auslander国际会议计划汇集数学家从表示理论和组合学，不变理论，非交换代数，交换代数，同调代数等相关领域的支持下，从国家科学基金会，这一成功的年度活动将扩大其参与，扩大支持更多的研究生，并延长到六天。将有讲座和研究等主题的广义集群类别，包括那些有关的表面，泊松结构及其关系，集群代数，Brauer-Severi各种Sklyanin代数，普遍变形环，Grassmannian，Calabi-Yau代数，Christoffel字和马尔可夫数，霍普夫代数行动，扭曲Plucker坐标和组合完美匹配，更高的Auslander代数，MV多面体和Nakajima变种。许多突破已经在这次会议上提出，例如，著名的强无圈猜想的证明是在2010年首次提出的。会议将是一个组合研讨会/会议/学生演示活动。会议的每一天都将由代数各个领域的知名国际专家进行简短的演讲。随后将至少有一个学生介绍解释与他们的博士论文相关的结果。其余的讲座将是传统的会议会谈。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就的平台。我们还希望将我们领域的国际领导者介绍给我们在美国拥有的年轻人才。这样做的目的是使我们的年轻研究人员在世界上更加知名，并与外界接触。此外，还有一个将进一步推进的国家战略目标。美国在数学研究的许多领域已经处于领先地位。然而，它是落后于新的分支代数正在开发的主要是在其他国家。拟议的会议将有助于扭转这一趋势。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Auslander国际会议的更多信息可以在http://www.math.neu.edu/~martsinkovsky/p/MADL/MADL.html找到

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