Anglo-Franco-German Representation Theory Network

表示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（例如群、结合代数或李代数）。这门学科的起源可以追溯到世纪后期，是当今数学中最具活力的领域之一，与几何、数论、拓扑学和数学物理学有着卓有成效的相互作用。表示论是可见的一般数学场景通过大规模的研究计划具有鲜明的跨学科的味道，它充满了问题，这是激烈的研究来自几个不同的观点。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进行更广泛的视野，并了解邻近学科。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信息来源，尽管电子通信的重要性日益增加。拟议中的项目是一个网络倡议“英法德代表理论”，使这些好处的代表理论的研究人员从英国，法国和德国。

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.