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

几何中可积系统的方法：LMS Durham 研究研讨会

• 批准号: EP/C522737/1
• 负责人: John Bolton
• 金额: $ 6.63万
• 依托单位: Durham University
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2006
• 资助国家: 英国
• 起止时间: 2006 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FC522737%2F1
• 关键词: Methods; Integrable; systems; Geometry; LMS

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

微分几何与可积系统之间的关系可以追溯到一个多世纪前，但直到最近，可积系统理论的方法才被一致应用来获得全局几何结果。建议于2006年8月在杜伦大学举办为期10天的该领域研讨会，由F. Burstall（巴斯大学）、J. Dorfmeister（慕尼黑工业大学）、M. Guest（东京MU）和F. Pedit组织。 （阿默斯特大学）。这将把领先的研究人员聚集在一起，进行一段时间的集中、巩固和交叉培养。该计划的设计重点是那些显示出特别前景的领域，以及不同群体之间的互动可能最有利的领域。将会有一个整洁的讲座计划，有充足的讨论、合作和临时研讨会的机会。我们将集中讨论几个方面，即：离散可积系统谱曲线和代数几何方法曲面、狄拉克算子和经典微分几何子流形几何和环群方法弗罗贝尼乌斯流形和可积系统