Conference Proposal: Geometric and topological aspects of the representation theory of finite groups

会议提案：有限群表示论的几何和拓扑方面

• 批准号: 1624050
• 负责人: Srikanth Iyengar
• 金额: $ 3.89万
• 依托单位: University of Utah
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2016
• 资助国家: 美国
• 起止时间: 2016-07-01 至 2017-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1624050&HistoricalAwards=false
• 关键词: Conference; Proposal; Geometric; topological; aspects

The summer school and workshop "Geometric and topological aspects of the representation theory of finite groups" will take place July 27 to August 5, 2016 at the Pacific Institute for the Mathematical Sciences in Vancouver, Canada. The summer school will take place July 27-30 and the workshop will take place August 1-5. Representation theory of finite groups is a very rich subject with connections to many areas of mathematics. The subject seeks to understand the ways in which an abstract collection of operators can be expressed as transformations on a space. Striking developments in this field have recently been made by researchers in Europe. A major aim of the scheduled events is to provide an opportunity for graduate students, postdocs, and early-career researchers to learn about these developments directly from the sources. An additional aim is to facilitate new collaborations. This project will support the participation of US-based researchers (predominantly graduate students and recent PhDs) in the summer school and workshop.The scientific focus of the summer school and workshop is the representation theory of finite groups and related algebraic structures, with an emphasis on the modular case. This is an active area of research in the US and abroad, with mathematicians on different continents working on different aspects of the subject. The summer school will be centered around four lecture series: Rational Cohomology and Support for Linear Algebraic Groups (Eric Friedlander); Group Actions via Homotopy Theory (Jesper Grodal); Local Representation Theory (Radha Kessar); and Endo-trivial Modules for Infinite Groups (Peter Symonds). Taken together, these topics cover a broad range of current research on modular representation theory of finite groups. The workshop will consist of twenty-three lectures by international scholars who are are known for their seminal contributions and for their ability to communicate mathematics effectively. The lectures from the summer school and workshop will be submitted for publication. The webpage for the summer school and workshop is http://www.pims.math.ca/scientific-event/160727-psswgatartofg.

暑期学校和研讨会“有限群表示论的几何和拓扑方面”将于 2016 年 7 月 27 日至 8 月 5 日在加拿大温哥华太平洋数学科学研究所举行。暑期学校将于 7 月 27 日至 30 日举行，研讨会将于 8 月 1 日至 5 日举行。有限群表示论是一门非常丰富的学科，与数学的许多领域都有联系。该主题旨在理解将运算符的抽象集合表示为空间变换的方式。欧洲研究人员最近在这一领域取得了惊人的进展。预定活动的一个主要目的是为研究生、博士后和早期职业研究人员提供直接从来源了解这些发展的机会。另一个目标是促进新的合作。该项目将支持美国研究人员（主要是研究生和最近的博士）参加暑期学校和研讨会。暑期学校和研讨会的科学重点是有限群和相关代数结构的表示理论，重点是模块化案例。这是美国和国外的一个活跃的研究领域，不同大陆的数学家正在研究该学科的不同方面。暑期学校将围绕四个系列讲座：有理上同调和线性代数群的支持（Eric Friedlander）；通过同伦理论进行群体行动（Jesper Grodal）；局部表示理论（Radha Kessar）；和无限组的 Endo-trivial 模块（Peter Symonds）。总而言之，这些主题涵盖了当前有限群模表示论的广泛研究。该研讨会将由国际学者举办 23 场讲座，这些学者以其开创性的贡献和有效传播数学的能力而闻名。暑期学校和研讨会的讲座将提交出版。暑期学校和研讨会的网页是http://www.pims.math.ca/scientific-event/160727-psswgatartofg。