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

微分几何与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月在英国达勒姆大学举行为期10天的研讨会，由巴斯大学的F. Burstall、慕尼黑工业大学的J. Dorfmeister、东京大学的M. Guest和阿姆赫斯特大学的F. Pedit共同组织。这将把主要的研究人员聚集在一起，进行一段时间的集中、巩固和交叉施肥。该方案的设计重点将放在表现出特别希望的领域，以及不同群体之间的相互作用可能最有益的领域。将有一个整洁的讲座计划，有充足的机会进行讨论，合作和特别研讨会。我们将集中在几个方面，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，子流形几何和环群方法，Frobenius流形和可积系统

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