Maurice Auslander International Conference

该奖项支持参加2015年和2016年在马萨诸塞州伍兹霍尔Quissett校区伍兹霍尔海洋学研究所举行的Maurice Auslander国际会议系列会议。第一届将于2015年4月29日至5月4日举行，第二届将于2016年5月举行。这次会议是一个研讨会/会议/学生演讲的结合活动。会议的每一天都以各领域知名国际专家的说明性讲座开始。也会有学生报告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。这些会议还向年轻的美国研究人员介绍了该领域的国际领导人，这些研究人员在世界上变得更加知名，并建立了外部联系。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理解和更受欢迎。这个成功的年度活动将继续扩大其参与范围，并为更多的年轻研究人员提供支持。在21世纪，奥斯兰德-雷滕理论在许多领域产生了相当大的新影响；特别重要的是，Fomin和Zelevinsky的聚类理论与许多不同的领域有关，它也与有限维代数的表示理论密切相关。Maurice Auslander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理论和代数、几何、组合学和数学物理等相关领域的数学家。本次会议特别强调：代数的表示理论，通常是非交换的；代数表示理论与其他领域的关系，如群表示、加权射影空间上的向量束、曲面拓扑、泊松几何和格拉斯曼上的簇结构；代数表示论技术在不变量论、组合学等相关领域的应用应用其他领域的结果，以激发代数表示理论中解决问题和发展新问题的新方法，特别是簇代数，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，以及应用于量子场论，如BPS颤振的Cecotti-Vafa理论。更多信息可在会议网站www.northeastern.edu/martsinkovsky/p/MADL/MADL.html上找到

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