Conference on Vector Bundles

向量束会议

• 批准号: 0755229
• 负责人: Steven Bradlow
• 金额: $ 2.42万
• 依托单位: University of Illinois at Urbana-Champaign
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-01-01 至 2009-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0755229&HistoricalAwards=false
• 关键词: Conference; Vector; Bundles

AbstractPrincipal Investigator: Bradlow, Steven BProposal Number: DMS - 0755229 Institution: University of Illinois at Urbana Champaign Title: Conference on Vector Bundles Mathematics researchers from US institutions will attend aninternational Conference on Vector Bundles, to be held in Madrid,Spain, for the period June 16-20, 2008. The conference will serveas the 2008 annual meeting of the Vector Bundles on Algebraic Curves(VBAC) group, an international network of mathematicians working onresearch questions related to vector bundles and their modulispaces. The meeting will also honor the 70th birthday of ProfessorS. Ramanan, a pioneer in the subject, and will form part of aSemester on Moduli Spaces organized by a consortium of Spanishmathematics research centers.Vector bundles and their associated moduli spaces stands at thecrossroads of several areas of mathematics, involving ideas fromalgebraic geometry, topology, differential geometry and gaugetheory. They have strong connections with theoretical physics, wherethe interaction between geometry and string theory has sparked majoradvances in both disciplines. After algebraic varietiesthemselves, vector bundles are probably the next most studiedobjects in algebraic geometry. The speakers and participants invitedto the conference described in this proposal include many of thepre-eminent experts in the field.

摘要主要研究者：Bradlow，Steven B提案编号：DMS - 0755229机构：伊利诺伊大学厄巴纳分校尚潘标题：矢量束会议来自美国机构的数学研究人员将参加2008年6月16日至20日在西班牙马德里举行的矢量束国际会议。这次会议将作为代数曲线向量丛（VBAC）小组的2008年年会，VBAC是一个国际数学家网络，致力于研究与向量丛及其模空间有关的问题。会议还将荣誉教授的70岁生日。Ramanan是这一学科的先驱，他将成为由西班牙数学研究中心联盟组织的模空间学期的一部分。向量丛及其相关的模空间处于数学的几个领域的交叉点，涉及几何学，拓扑学，微分几何和规范论的思想。它们与理论物理学有着密切的联系，几何学和弦理论之间的相互作用引发了这两个学科的重大进展。 继代数变量之后，向量丛可能是代数几何中研究最多的对象。本建议中所述的应邀参加会议的发言者和与会者包括该领域的许多杰出专家。