Summer Institute on Algebraic Geometry

代数几何暑期研究所（提案DMS-0456683。）2005年7月至8月，将在西雅图的华盛顿大学举办一个为期三周的大型代数几何暑期研究所。组织支持将由美国数学学会和克莱数学研究所提供。每周将有一个一般性的主题作为重点，同时将包括核心“经典”代数几何的组成部分。重点将是：代数几何中的数学物理;组合数学、交换代数和经典代数几何;算术代数几何。三个全体上午讲座系列将在每周举行，讲师已被选为领先的研究人员谁是在同一时间模范的导师。此外，将邀请顶尖专家担任研讨会领导，并将选择最好的讲师为下午的研讨会提供高影响力的讲座。 其他活动将包括CMI杰出讲座和晚间研究生课程。代数几何，研究由多项式方程定义的几何形状，是高中主题“解析几何”的广泛推广。在过去的几十年里，它在纯数学、应用数学、计算和理论物理等领域进行了大量的交流。美国代数geometers保持活力的领域之一是通过举办一个大规模的，国家科学基金会资助的夏季instituteabout每十年，一个研究所，旨在使参与者到前沿的研究领域的突出方向已采取在前几年，并项目方向，该领域预计将在今后几年。这些研究所在这一课题上发挥了至关重要的作用，特别是对年轻研究人员的新兴职业产生了巨大的影响。这个暑期研究所项目旨在追随他们的脚步。

Algebraic Geometry Summer Institute (Proposal DMS-0456683.)A large scale summer institute in algebraic geometry, three weeks induration, will be held during July-August 2005 at the University ofWashington, Seattle. Organizational support will be provided by theAmerican Mathematical Society and the Clay Mathematics Institute. Eachweek will have a general topic as a focus and at the same time willinclude a component of core "classical" algebraic geometry. The foci will be: Mathematical Physics in Algebraic Geometry; Combinatorics, Commutative Algebra and Classical Algebraic Geometry; and Arithmetic AlgebraicGeometry. Three plenary morning lecture series will be held in each week, lecturers having been selected as leading researchers who are at the same time exemplary expositors. In addition, leading specialists will beinvited to serve as seminar leaders, and will select high impact lectures given by the best lecturers for afternoon seminars. Additional activities will include the CMI distinguished lectures and an evening graduateprogram.Algebraic geometry, the study of geometric shapes defined by polynomialequations, is a vast generalization of the high-school topic "analyticgeometry". It has enjoyed much cross-fertilization in past decades withareas in pure mathematics, applied mathematics, computing and theoretical physics. One way American algebraic geometers have maintained the vibrancy of the field is by holding a large scale, NSF-funded summer instituteabout every decade, an institute which aims to bring participants up tothe forefront of research in the salient direction the field has taken in the previous years, and to project directions which the field is expected to take in the following years. These institutes have had a crucialformative role on the subject, with enormous impact especially on theemerging careers of young researchers. This summer institute project aims to follow in their footsteps.