Maurice Auslander International Conference

该奖项支持参加在马萨诸塞州伍兹霍尔Quissett校区伍兹霍尔海洋研究所举行的莫里斯·奥斯兰德国际会议系列2015和2016年的会议。第一次将于2015年4月29日至5月4日举行，第二次将于2016年5月举行。会议是研讨会/会议/学生展示相结合的活动。会议的每一天都以各领域知名国际专家的说明性演讲开始。还将有学生演示，解释他们自己的结果。其余的讲座将是传统的会议演讲。说明性演讲和学生演讲的目的是让研究生和博士后能够接触到当前的代数研究，并为初级研究人员提供一个展示他们成果的平台。这些会议还将该领域的国际领导者介绍给年轻的美国研究人员，他们在世界上变得更知名，并与外部联系。这次会议将有助于使代数新分支的当前主题在美国更容易获得和更受欢迎。这一成功的年度活动将继续扩大其参与范围，并向更多的青年研究人员提供支持。在21世纪，Auslander-Reiten理论在许多领域产生了相当大的新影响；尤其重要的是，Fomin和Zlevinsky的簇理论与有限维代数的表示理论也是密切相关的，它涉及到如此多的不同领域。莫里斯·奥斯兰德国际会议旨在成为美国这一代数领域的活动中心。会议汇集了来自表示论以及代数、几何、组合学和数学物理等相关领域的数学家。这次会议特别强调：代数的表示理论，通常是非对易的；代数的表示理论与其他领域的关系，如群的表示，加权射影空间上的向量丛，曲面的拓扑，泊松几何，Grassmannians上的簇结构，代数表示理论的技巧在不变论和组合学等相关领域的应用；应用其他领域的结果，以激励代数表示理论在问题解决和新问题的发展方面的新方法，特别是对于簇代数，它是为了研究由量子化包络代数产生的Lusztig正则基而发明的，并应用于量子场论，如BPS箭图的Cecotti-Vafa理论。欲了解更多信息，请访问会议网站www.northeastern.edu/martsinkovsky/p/MADL/MADL.html。

This award supports participation in the 2015 and 2016 meetings of the Maurice Auslander International Conference series, held at the Woods Hole Oceanographic Institute, Quissett Campus in Woods Hole, Massachusetts. The first will be held on April 29 - May 4, 2015, and the second in May, 2016. The conference is a combination workshop/conference/student presentation event. Each day of the conference starts with expository lectures by known international experts in various fields. There will also be student presentations explaining their own results. 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. The meetings also introduce international leaders in the field to young US researchers, who become better known in the world and make outside contacts. The conference will help make current topics in new branches of algebra more accessible and more popular in the US. This successful yearly event will continue to expand its participation and extend support to more young researchers. In the twenty-first century, Auslander-Reiten theory has had considerable new impact in many fields; particularly important is the fact that the cluster theory of Fomin and Zelevinsky, which is connected to so many different fields, is also intimately related to the representation theory of finite dimensional algebras. The Maurice Auslander International Conference is intended to be a center of activity for this area of algebra in the United States. The meeting brings together mathematicians from representation theory and related areas of algebra, geometry, combinatorics, and mathematical physics. This conference places special emphasis on: Representation theory of algebras, usually noncommutative; Relation of representation theory of algebras to other fields such as representations of groups, vector bundles over weighted projective space, the topology of surfaces, Poisson geometry, and cluster structures on Grassmannians; Application of techniques from the representation theory of algebras to related fields such as invariant theory and combinatorics; Applications of results from other fields in order to motivate new methods in the representation theory of algebras in terms of both problem solving and development of new questions, in particular for cluster algebras, which were invented to study Lusztig's canonical bases arising from quantized enveloping algebras, and applications to quantum field theory such as the Cecotti-Vafa theory of BPS quivers. More information can be found at the conference web site www.northeastern.edu/martsinkovsky/p/MADL/MADL.html