Methods of Integrable systems in Geometry: An LMS Durham Research Symposium

微分几何和可积系统之间的关系可以追溯到一个多世纪以前，但直到最近，可积系统理论的方法才被一致地应用于获得全局几何结果。建议于2006年8月在达勒姆大学举办为期10天的研讨会，由F.Burstall(巴斯大学)、J.Dorfmeister(德国慕尼黑理工大学)、M.Guest(东京慕尼黑大学)和F.Pedit(Amherst大学)组织。这将聚集顶尖的研究人员，进行一段时间的集中、巩固和交叉交流。该计划的设计将侧重于显示出特殊前景的领域，以及不同群体之间的互动可能最有益的领域。我们将集中于几个方面，即：离散可积系统、谱曲线和代数几何方法、曲面、狄拉克算子、经典微分几何子流形几何和循环群方法

Relations between differential geometry and integrable systems can be traced back more than a century, but it is only recently that methods of integrable system theory have been consistently applied to obtain global geometrical results.It is proposed to hold a 10-day symposium in this area at the University of Durham in August 2006, organised by F. Burstall (U of Bath), J. Dorfmeister (TU Munich), M. Guest (Tokyo MU) and F. Pedit (U of Amherst). This will bring together leading researchers for a period of concentration, consolidation and cross-fertilization.The programme will be designed to focus on areas which show particular promise, and where interactions between different groups are likely to be most beneficial. There will be an uncluttered lecture programme, with ample opportunities for discussions, collaborations and ad-hoc seminars.We shall concentrate on several aspects, namely: discrete integrable systemsspectral curves and algebro-geometric methodssurfaces, Dirac operators, and classical differential geometry submanifold geometry and loop group methods Frobenius manifolds and integrable systems