The Topology of Algebraic Varieties

2012年9月24日至28日将在蒙特利尔举办一个关于“代数变种的拓扑”的讲习班，在此之前，将于2012年9月21日至23日举办三个相关的小型课程。更多信息可以在以下网站找到：http://www.crm.umontreal.ca/2012/Topology12/index_e.phpThis是一个关于正规代数簇的简单拓扑不变量与其他自然不变量之间联系的研讨会，特别是那些来自双有理和仿射代数几何的不变量。主要的主题将包括简单的连通性合理连接品种，相关的发展Shafarevich地图通过循环空间理论，并决议的Shafarevich猜想的普遍覆盖的顺利品种（与线性基本组）通过霍奇理论在各种伪装。在其他中心主题将有最近的进展，在理论的管道表面奇点，桥梁许多经典问题的代数品种与结和理论的3-流形，以及Bogomolov-Miyaoka-Yau不等式在（orbifold）陈数的奇异品种在几个新的突破性成果仿射代数几何。会议将汇集专家在代数/解析几何以及相关的拓扑学家工作在低维复杂的奇异性理论的富有成效的信息交流和互动在国际范围内。它将向新一代研究人员介绍这一领域使用的现代拓扑和分析工具。

A workshop on "The Topology of Algebraic Varieties" will be held in Montreal from September 24 to 28, 2012 preceded by three related mini-courses from September 21 to 23, 2012. Additional information can be found at the following website:http://www.crm.umontreal.ca/2012/Topology12/index_e.phpThis is a workshop on connections between simple topological invariants of a normal algebraic variety, and other natural invariants, especially those coming from birational and affine algebraic geometry. Major themes will include the simple connectedness of rationally connected varieties, the related development of the Shafarevich map via cycle space theory, and the resolution of the Shafarevich conjecture on the universal cover of a smooth variety (with linear fundamental group) via Hodge theory in various guises. Among other central subjects there will be recent advances in the theory of plumbing for surface singularities that bridged many classical problems on algebraic varieties with knots and the theory of 3-manifolds, and the key role of the Bogomolov-Miyaoka-Yau inequality on (orbifold) Chern numbers of singular varieties in several new break-through results in affine algebraic geometry.The conference will bring together experts in algebraic/analytic geometry as well as relevant topologists working in low dimensional complex singularity theory for fruitful exchange of information and interaction on an international scale. It will introduce modern topological and analytical tools used in this area to a new generation of researchers.