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

ronald J. stern该奖项为参加2001年4月12日至16日在加州大学欧文分校校园举行的“辛几何和Lefschetz铅笔”会议的研究生、博士后研究人员、初级教员和主要演讲者提供部分资助。本次会议将汇集研究人员讨论和介绍辛Lefschetz理论和辛4流形研究的新进展。Donaldson关于每个辛4流形都支持一个辛Lefschetz铅笔的发现，以及Auroux和Katzarkov关于每个辛4流形都是复投影平面的有限分支覆盖的发现，都提供了利用代数几何中的映射类群数据和方法对四维辛流形进行分类的可能性。本次会议将提供一个总结、集中和传播这一数学研究新方向的成果的机会，并将为代数和微分几何/拓扑和理论物理的新博士和研究生提供向这一新兴领域的领导者学习的机会。具体信息请访问http://www.math.uci.edu/sub6.html

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