Anglo-Franco-German Representation Theory Network

表征理论是数学的一个分支，它试图通过对更具体的对象（例如向量空间）的作用来理解抽象的代数对象，如群、关联代数或李代数。这门学科的起源可以追溯到19世纪晚期，是当今数学中最具活力的领域之一，与几何、数论、拓扑学和数学物理有着丰硕的成果。通过具有独特的跨学科风格的大规模研究项目，表征理论在一般数学场景中可见，它充满了来自几个不同观点的密集研究主题的问题。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阔的视野，并了解邻近的学科。讨论会、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资料来源，尽管电子通信日益重要。拟议的项目是一个网络倡议“英法德表征理论”，将这些好处带给来自英国、法国和德国的表征理论研究人员。

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.