Consolidated Support for EPSRC-LMS Durham Symposia

伦敦数学会达勒姆研讨会有着悠久而辉煌的历史，是最重要的定期国际数学活动之一，反映和开创了现代数学的前沿发展。这些为期10天的会议自1974年以来一直在举行，其最高的国际声誉和威望广为人知。它们与英国数学的卓越性有着广泛的联系。该计划活动的达勒姆专题讨论会是完全控制的伦敦数学学会，并只发生在夏季期间，以及适应学术日记的数学家世界各地。这项建议寻求支持将专题讨论会方案再延长四年。研讨会将英国和国际顶尖研究人员聚集在一个非正式的氛围中，旨在寻找共同点并讨论令人兴奋的最新发展。这一点，以及几乎所有参与者都居住在同一个住宿区的事实，为交流思想和相互交流研究专业知识提供了机会。我们相信，如果这一提议取得成果，将继续实现令人兴奋的新的国际合作。会议的成果首先通过一个积极管理和易于访问的网站（http：//www.maths.dur.ac.uk/events/Meetings/LMS/）分发，该网站载有以前所有88次达勒姆专题讨论会的清单。点击任何研讨会的链接都可以获得很多信息，包括与会者名单和其他相关信息。每次研讨会的主要发言都用摄像机录制（经发言者许可），并在会议结束后几天内放在网站上。课堂讲稿和/或幻灯片也在网站上，所有这些材料都免费提供给所有人。会议的更详细记录是在研究期刊上发表的受会议主题启发的前沿文章。研讨会的成果为已经充满活力的研究领域注入了巨大的动力。英国和国际研讨会的参与者是直接受益者，但达勒姆研讨会网站上及时出现的视频和讲义也为该领域许多其他数学科学家的研究提供了信息。这反过来又大大增加了我们对所研究的各种研究课题的理解。

The LMS Durham Symposia have long and glorious history and are among the most important regular international mathematical events, reflecting and initiating developments in cutting edge modern mathematics. These 10-day meetings have run since 1974, and their highest international reputation and prestige are widely known. They are widely associated with the excellence of British mathematics. The programme activity of the Durham Symposia is fully controlled by the London Mathematical Society, and takes place only during the summer period which fits well into the academic diary of mathematicians worldwide. This proposal seeks support for a continuation of the programme of Symposia for a further four years. The Symposia bring together the top UK and international researchers in an informal atmosphere, with the aim of finding common ground and discussing exciting recent developments. This, and the fact that virtually all the participants reside in the same accommodation block, gives the opportunity for the exchange of ideas and cross-fertilization of research expertise. We are confident that exciting new international collaborations will be continue to be realised if this proposal comes to fruition. The results of the meetings are distributed initially via an actively-managed and easily accessible website (http://www.maths.dur.ac.uk/events/Meetings/LMS/), which contains a list of all 88 previous Durham Symposia. Following the link for any symposium leads to much information, including a list of participants, and other relevant information. The main talks of each symposium are recorded (with permission of the speakers) with a camcorder, and are placed on the website within a few days of the finish of the meeting. Lecture notes and/or slides are also on the site, and all this material is made freely available to all. A more detailed record of the meeting is provided by the publication in research journals of cutting-edge articles inspired by the subjects covered in the meeting. The outcomes from the Symposia impart a large impetus to already dynamic research areas. The UK and international symposium participants are the immediate beneficiaries, but the timely appearance of videos and lecture notes on the Durham Symposium website also informs the research of many other mathematical scientists working in the area. This in turn adds considerably to our understanding of the various research topics studied.