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海洋学研究所举行的 Maurice Auslander 国际会议系列会议。 第一次会议将于2015年4月29日至5月4日举行，第二次会议将于2016年5月举行。这次会议是一个结合了研讨会/会议/学生展示活动的活动。会议的每一天都以各个领域的国际知名专家的说明性讲座开始。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。说明性讲座和学生讲座的目的是让研究生和博士后能够接触到当前的代数研究，并为初学者提供一个展示其成就的平台。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，他们在世界上更加出名并与外界建立联系。这次会议将有助于使代数新分支中的当前主题在美国更容易理解和流行。这一成功的年度活动将继续扩大其参与范围，并为更多年轻研究人员提供支持。 二十一世纪，奥斯兰德-雷滕理论在许多领域产生了相当大的新影响。尤其重要的是，福明和泽列文斯基的簇论与许多不同领域都有联系，也与有限维代数的表示论密切相关。莫里斯·奥斯兰德国际会议旨在成为美国该代数领域的活动中心。这次会议汇集了来自表示论以及代数、几何、组合学和数学物理相关领域的数学家。 本次会议特别强调： 代数表示论，通常是非交换的；代数表示论与其他领域的关系，例如群的表示、加权射影空间上的向量丛、曲面拓扑、泊松几何和格拉斯曼函数上的簇结构； 将代数表示论技术应用于不变理论和组合学等相关领域； 应用其他领域的成果，以在解决问题和开发新问题方面激发代数表示论的新方法，特别是簇代数，发明簇代数是为了研究由量子化包络代数产生的 Lusztig 规范基，以及量子场论的应用，例如 BPS 颤动的 Cectti-Vafa 理论。更多信息请访问会议网站 www.northeastern.edu/martsinkovsky/p/MADL/MADL.html