Symplectic maps to P2, symplectic Lefschetz pencils and new symplectic invariants - a conference proposal

辛映射到 P2、辛 Lefschetz 铅笔和新的辛不变量 - 会议提案

• 批准号: 0105389
• 负责人: Ronald Stern
• 金额: $ 1.29万
• 依托单位: University of California-Irvine
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2001
• 资助国家: 美国
• 起止时间: 2001-03-01 至 2002-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0105389&HistoricalAwards=false
• 关键词: Symplectic; maps; P2; symplectic; Lefschetz

DMS-0105389Ronald J. SternThis award provides partial support for graduate students, postdoctoral researchers, junior faculty, and principal speakers to attend the "Symplectic Geometry and Lefschetz pencils" conference to be held April 12-16, 2001 on the campus of the University of California at Irvine. This conference will bring together researchers to discuss and present new advances in the study of symplectic Lefschetz theory and symplectic 4-manifolds . The discovery of Donaldson that every symplectic 4-manifold supports a symplectic Lefschetz pencil and the discovery of Auroux and Katzarkov that every symplectic 4-manifold is a finite ramified covering of the complex projective plane presents the possibility to classify four-dimensional symplectic manifolds using mapping class group data and methods from algebraic geometry. This conference will provide an opportunity to summarize, centralize and disseminate results in this new direction of mathematical research and will provide the opportunity for new PHD's and graduate students in algebraic and differential geometry/topology and theoretical physics to learn from the leaders of this emerging field. Specific information will be available at http://www.math.uci.edu/sub6.html

DMS-0105389 Ronald J. Stern该奖项为研究生、博士后研究人员、初级教师和主要发言人提供部分支持，以参加将于2001年4月12日至16日在加州大学欧文分校举行的“辛几何和莱夫谢茨铅笔”会议。本次会议将汇集研究人员讨论和提出辛莱夫谢茨理论和辛4-流形研究的新进展。唐纳森发现每一个辛4-流形支持一个辛Lefschetz束，Auroux和Katzarkov发现每一个 辛4-流形是复射影平面的有限分支覆盖，提出了使用代数几何中的映射类组数据和方法对四维辛流形进行分类的可能性。这次会议将提供一个机会，总结，集中和传播结果在这个新的方向的数学研究，并将提供机会，为新的博士和研究生在代数和微分几何/拓扑和理论物理学，以学习领导人的这一新兴领域。具体信息请访问http://www.math.uci.edu/sub6.html