Combinatorial and Geometric Structures in Representation Theory: An LMS Durham Research Symposium

在其诞生100多年后，表示论是一个充满活力的，不断发展的数学研究领域。这是一个非常广泛的主题，跨越了许多领域，它提供了一种思维方式，在许多其他数学领域都很有价值。我们计划于2009年7月在达勒姆大学举办一次为期10天的会议，题为“表示理论中的组合和几何结构”，由J. Brundan（俄勒冈州）、J. Chuang（城市，伦敦）、I.戈登（爱丁堡）和B。勒克莱尔（卡昂）。这将是一系列的LMS达勒姆研讨会，并将集中在最近的发展组合，代数和几何方面的代表性理论。我们将汇集英国和国际顶尖的研究人员在这些领域的非正式气氛中提供了一个LMS达勒姆研讨会，寻找共同点，讨论令人兴奋的最新发展的目的。这将为思想交流和研究专业知识的交叉施肥提供机会，我们相信，如果这一建议取得成果，将实现令人兴奋的新的国际合作。我们还将邀请英国有前途的年轻研究人员，让他们有机会向国际专家学习并与他们互动，特别是与他们讨论他们的工作。研讨会将有一个整洁的讲座计划，有充分的讨论，合作和非正式会谈的机会。我们的目标是确保所有人都意识到新技术和新挑战，这些都是我们关注的领域。通过汇集广泛的专家，这次会议将对这些丰富的研究领域的发展产生重大影响。会议的结果将首先通过一个积极管理和容易进入的网站分发，该网站将载有与会者名单、会谈摘要和其他有关信息。主要会谈将被记录（与发言者的许可）与摄像机，并将在会议结束后一个月内放在网站上。演讲笔记和/或幻灯片也将放在网站上，所有这些材料都将免费提供给所有人。会议的更详细记录将通过在研究期刊上发表受会议主题启发的前沿文章来提供。这次会议预计将提供一个主要的持久刺激世界研究在几个相关领域的代表性理论。

More than 100 years after its birth, representation theory is a vibrant, growing research area of mathematics. It is a very broad topic which crosses many fields, and it provides a way of thinking that has been valuable in many very other mathematical areas. We propose to hold a 10-day conference in July 2009 at Durham University, entitled ``Combinatorial and Geometric Structures in Representation Theory'', and organised by J. Brundan (Oregon), J. Chuang (City, London), I. Gordon (Edinburgh) and B. Leclerc (Caen). This will be in the series of LMS Durham Symposia, and will concentrate on recent developments in combinatorial, algebraic and geometric aspects of representation theory. We will bring together the top UK and international researchers in these fields in the informal atmosphere provided by an LMS Durham Symposium, with the aim of finding common ground and discussing exciting recent developments. This will give the opportunity for the exchange of ideas and cross-fertilization of research expertise, and we are confident that exciting new international collaborations will be realised if this proposal comes to fruition. We will also invite promising young UK researchers, and give them the opportunity to learn from and interact with the international experts and, in particular, to discuss their work with them.The symposium will have an uncluttered lecture programme, with ample opportunities for discussions, collaborations and informal talks. Our aim is to ensure that all are aware of new techniques and the new challenges that are arising for our areas of focus. By bringing together a broad range of experts, this meeting will have a significant impact on the development of these rich areas of research. The results of the meeting will be distributed initially via an actively-managed and easily accessible website, which will contain a list of participants, abstracts of talks and other relevant information. The main talks will be recorded (with permission of the speakers) with a camcorder, and will be placed on the website within one month of the finish of the meeting. Lecture notes and/or slides will also be put on the site, and all this material will be made freely available to all.A more detailed record of the meeting will be provided by the publication in research journals of cutting-edge articles inspired by the subjects covered in the meeting. The conference is expected to provide a major lasting fillip to world research in several related areas of representation theory .