Maurice Auslander International Conference

莫里斯·奥斯兰德国际会议

• 批准号: 1521103
• 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: 2015
• 资助国家: 美国
• 起止时间: 2015-05-01 至 2018-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1521103&HistoricalAwards=false
• 关键词: Maurice; Auslander; International; Conference

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

该奖项支持参加2015年和2016年在马萨诸塞州伍兹霍尔奎塞特校区伍兹霍尔举行的莫里斯·奥斯兰德国际会议系列会议。 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。会议是一个组合研讨会/会议/学生演示活动。会议的每一天都从各个领域的知名国际专家的简短演讲开始。还将有学生演讲解释他们自己的结果。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。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，并与外界建立了联系。这次会议将有助于使当前的主题在新的分支代数更容易和更受欢迎的美国。这一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，Auslander-Reiten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的簇理论，它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。莫里斯Auslander国际会议的目的是成为一个中心的活动，这方面的代数在美国。会议汇集了数学家从代表性理论和相关领域的代数，几何，组合数学和数学物理。 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，如群的表示，加权射影空间上的向量丛，曲面的拓扑，泊松几何和Grassmannian上的簇结构;代数表示理论的技术在相关领域的应用，如不变理论和组合学;应用结果从其他领域，以激励新的方法表示理论的代数方面的问题解决和发展的新问题，特别是集群代数，这是发明研究Lusztig的规范基础所产生的量化包络代数，并应用到量子场论，如切科蒂-瓦法理论的BPS箭图。更多信息可在会议网站www.northeastern.edu/martsinkovsky/p/MADL/MADL.html上找到