Anglo-Franco-German Representation Theory Network

表示论是数学的一个分支，它试图通过抽象的代数对象对更具体的对象(例如向量空间)的作用来理解抽象的代数对象，如群、结合代数或李代数。这门学科的起源可以追溯到19世纪末，是当今数学中最活跃的领域之一，与几何学、数论、拓扑学和数学物理进行了卓有成效的互动。通过具有鲜明跨学科色彩的大型研究项目，表示理论出现在一般的数学场景中，它充满了问题，这些问题是来自几个不同角度的密集研究的主题。在这种背景下，有必要为研究人员提供跨学科互动的机会，有机会对表征理论的基本基础和未来方向发展更广泛的视野，并学习邻近的学科。尽管电子通信日益重要，但研讨会、会议和讲习班以及短期非正式访问是了解国际一级正在发生的情况的主要信息来源。该项目是一项名为“英法德表征理论”的网络倡议，旨在为英国、法国和德国的表征理论研究人员带来这些好处。

Representation theory is a branch of mathematics that seeks to understand an abstract algebraic object such as a group, associative algebra, or Lie algebra, through its actions on a more concrete object, for instance a vector space. The subject, whose origins may be traced back to the late nineteenth century, is one of the most vibrant fields of mathematics today, interacting fruitfully with geometry, number theory, topology and mathematical physics. Representation theory is visible on the general mathematical scene through large-scale research programmes with a distinctive inter-disciplinary flavour and it abounds with problems which are the subject of intense research coming from several different points of view. Given this background, it is necessary to provide researchers with opportunities for interdisciplinary interaction, the chance to develop a broader vision of the fundamental underpinnings and future directions in representation theory, and to learn about neighbouring disciplines. Seminars, meetings and workshops, as well as short-term informal visits, are a key source of information about what is happening at the international level, despite the growing importance of electronic communications. The proposed project is a networking initiative "Anglo-French-German Representation Theory" to bring these benefits to researchers in representation theory from the UK, France and Germany.