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 首席研究员：Bradlow, Steven B 提案编号：DMS - 0755229 机构：伊利诺伊大学香槟分校 标题：向量束会议 来自美国机构的数学研究人员将参加将于 2008 年 6 月 16 日至 20 日在西班牙马德里举行的国际向量束会议。该会议将作为向量束 2008 年年会 代数曲线 (VBAC) 小组是一个由数学家组成的国际网络，致力于与向量丛及其模空间相关的研究问题。此次会议还将庆祝S教授70岁生日。拉马南是该学科的先驱，他将参加由西班牙数学研究中心联盟组织的模空间学期。向量丛及其相关模空间处于多个数学领域的十字路口，涉及代数几何、拓扑、微分几何和规范理论的思想。它们与理论物理学有着密切的联系，其中几何学和弦理论之间的相互作用激发了这两个学科的重大进步。 在代数簇本身之后，向量丛可能是代数几何中研究最多的对象。本提案中描述的受邀参加会议的演讲者和与会者包括该领域的许多杰出专家。