Center for Mathematics at Notre Dame

巴黎圣母院数学中心

• 批准号: 1806221
• 负责人: Samuel Evens
• 金额: $ 5.01万
• 依托单位: University of Notre Dame
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2018
• 资助国家: 美国
• 起止时间: 2018-05-01 至 2019-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1806221&HistoricalAwards=false
• 关键词: Center; Mathematics; Notre; Dame

The 2018 Center for Mathematics at Notre Dame program will consist of a series of three programs, held from June 11 to 29 of 2018 at the University of Notre Dame. The three programs include an undergraduate summer school June 11-15, a graduate summer school June 18-22, and a conference on Geometric Representation Theory and Symplectic Varieties June 25-29. The purpose of the program is to introduce students at various levels to important ideas in geometric representation theory, which is an active and important area of mathematics. The goal of the first week is to expose undergraduates to fundamental ideas they would not normally see until graduate school. We will introduce material through a combination of lectures and active learning sessions, with the aim of inspiring students to take advanced courses or reading courses in their future studies. The second and third weeks will consist of a summer school geared towards graduate students in the field, followed by a conference that will present current research on topics developed in the second week. The goal of the second week is to inspire graduate students to explore connections between different areas of mathematics, beyond the level they may see in their own graduate program. We also hope to bring together graduate students and postdocs from different institutions so they can develop productive professional relationships. We note that many students from previous Center for Mathematics at Notre Dame programs have gone on to get a Ph.D. in mathematics, and one invited speaker at our 2018 conference attended our 2011 program as a graduate student.The goal of the program Geometric Representation Theory and Symplectic Varieties is to bring together researchers working in these areas and make these techniques accessible to a broad audience. The first week will discuss generalized flag varieties and their geometry, as well as the Beilinson-Bernstein correspondence for sl(2). The second week will expose basic ideas from geometric representation theory of symplectic resolutions, and includes lecture series by recognized experts in the field. The third week will consist of an international conference on the program topic, and will present current research on many of the ideas from the graduate summer school. The program website is available at www3.nd.edu/~cmnd/programs/cmnd2018/.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

2018 年圣母大学数学中心项目将包括一系列三个项目，将于 2018 年 6 月 11 日至 29 日在圣母大学举行。这三个项目包括 6 月 11 日至 15 日的本科生暑期学校、6 月 18 日至 22 日的研究生暑期学校以及 6 月 25 日至 29 日的几何表示理论和辛簇会议。该计划的目的是向各个级别的学生介绍几何表示理论的重要思想，几何表示理论是数学的一个活跃且重要的领域。第一周的目标是让本科生了解他们通常在研究生院之前不会看到的基本思想。我们将通过讲座和主动学习相结合的方式介绍材料，旨在激励学生在未来的学习中学习高级课程或阅读课程。第二周和第三周将包括针对该领域研究生的暑期学校，随后举行的会议将介绍第二周开发的主题的当前研究。第二周的目标是激励研究生探索数学不同领域之间的联系，超出他们在自己的研究生课程中可能看到的水平。我们还希望将来自不同机构的研究生和博士后聚集在一起，以便他们能够发展富有成效的专业关系。 我们注意到，许多以前圣母大学数学中心项目的学生已经获得了博士学位。数学博士，我们 2018 年会议上的一位受邀演讲者作为研究生参加了我们 2011 年的项目。几何表示理论和辛品种项目的目标是将这些领域的研究人员聚集在一起，并使广大受众能够接触到这些技术。第一周将讨论广义旗形变体及其几何形状，以及 sl(2) 的 Beilinson-Bernstein 对应关系。第二周将揭示辛分辨率的几何表示理论的基本思想，并包括该领域知名专家的系列讲座。第三周将包括关于该项目主题的国际会议，并将介绍研究生暑期学校许多想法的当前研究。该计划网站可访问 www3.nd.edu/~cmnd/programs/cmnd2018/。该奖项反映了 NSF 的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。