The Topology of Algebraic Varieties

2012年9月24日至28日将在蒙特利尔举办“代数变种的拓扑”研讨会，之后将在2012年9月21日至23日举办三个相关的迷你课程。更多的信息可以在以下网站上找到：http://www.crm.umontreal.ca/2012/Topology12/index_e.phpThis是一个关于正常代数变量的简单拓扑不变量与其他自然不变量之间联系的研讨会，特别是那些来自两族和仿射代数几何的不变量。主要主题将包括合理连接的变种的简单连通性，通过循环空间理论的Shafarevich映射的相关发展，以及通过各种形式的Hodge理论解决Shafarevich猜想对光滑变种（具有线性基本群）的普遍覆盖。在其他中心主题中，将有关于表面奇点的管道理论的最新进展，它连接了许多关于带结的代数变种和3流形理论的经典问题，以及Bogomolov-Miyaoka-Yau不等式在奇异变种（轨道）陈氏数上的关键作用，在仿射代数几何的几个新的突破性成果中。会议将汇集代数/解析几何领域的专家以及研究低维复杂奇点理论的相关拓扑学家，在国际范围内进行富有成效的信息交流和互动。它将介绍现代拓扑和分析工具，用于这一领域的新一代的研究人员。

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.