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

暑期学校和研讨会“有限群表示理论的几何和拓扑方面”将于2016年7月27日至8月5日在加拿大温哥华的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。有限群的表示论是一个非常丰富的学科，与数学的许多领域都有联系。本课程旨在理解操作符的抽象集合可以表示为空间上的变换的方式。欧洲的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一个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。该项目将支持美国的研究人员（主要是研究生和最近的博士生）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的表示理论和相关的代数结构，重点是模块化的情况。这是一个活跃的研究领域，在美国和国外，与数学家在不同的大陆工作的不同方面的问题。暑期学校将围绕四个系列讲座：理性上同调和线性代数群的支持（埃里克·弗里德兰德）;通过同伦理论（杰斯珀·格罗达尔）的群体行动;局部表示理论（拉达·凯萨）;和无限群的内平凡模块（彼得·西蒙兹）。两者合计，这些主题涵盖了广泛的当前研究有限群的模表示理论。该研讨会将包括23个讲座，由国际学者谁是众所周知的，他们的开创性贡献和他们的能力，有效地沟通数学。暑期学校和讲习班的讲座将提交出版。暑期学校和研讨会的网页是http://www.pims.math.ca/scientific-event/160727-psswgatartofg。

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.