Western Algebraic Geometry Seminar - Fall 2009

西方代数几何研讨会 - 2009 年秋季

• 批准号: 0951907
• 负责人: Renzo Cavalieri
• 金额: $ 2.65万
• 依托单位: Colorado State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2009
• 资助国家: 美国
• 起止时间: 2009-11-15 至 2011-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0951907&HistoricalAwards=false
• 关键词: Western; Algebraic; Geometry; Seminar; Fall

On October 24 and 25, 2009, the Western Algebraic Geometry Seminar(WAGS) will meet at the University of California at Los Angeles. WAGS is a weekend conference held twice a year at various institutions in the western part of the United States and Canada, including the University of Utah, Stanford University, the University of British Columbia, the University of California at Berkeley, Colorado State University, the University of Washington and now the University of Colorado and the University of Arizona. The seminar traces its roots back to the Utah-UCLA Algebraic Geometry Seminar started in 1989 by H. Clemens, D. Gieseker, M. Green, J. Kollar, and R. Lazarsfeld. In its current form WAGS has run since 2002, and every WAGS has had over 50 participants. For the UCLA-WAGS, currently there have been55 registered graduate students, and there are about 30 faculty participants.WAGS has been instrumental in building a vibrant algebraic geometry community in the western part of US. It provides an important way for researchers to connect to one another in the broader geographical area. This is especially important in the west since many algebraic geometers there are the only members of their department in the field, and the geographical distance between the research institutions in the western United States means they can be relatively isolated. A crucial feature of WAGS is that it provides an opportunity for them to come together and hear a semesters worth of seminars, and equally importantly, meet at length with each other and with younger researchers. Graduate students get the opportunity to meet senior faculty, and to get a broader sense of the field than they would get from speaking only with their advisor. The success of WAGS is underscored by the fact that many people around the world currently leading the field of algebraic geometry have come up through the WAGS system.The speakers this fall will discuss their research in the field of algebraic geometry. Algebraic geometry concerns the solution sets of algebraic equations, and has long been a central subject in mathematics with deep and substantial connections to almost every aspect of modern mathematics. Beyond the natural interactions with ?neighboring? mathematical fields such as number theory, symplectic geometry, topology, and commutative algebra, exciting connections have recently emerged between algebraic geometry and apparently ?foreign? fields including mathematical physics, biology, digital communications, and robotics. There are numerous different approaches to the study of algebraic geometry, utilizing a wide variety of technical tools; commutative algebra, complex analysis, sheaf theory, cohomological methods, and combinatorial techniques all play important roles. Algebraic geometry continues to be a very active area of research. The recent year has been particularly exciting, as significant progress was made on ?classical? problems with roots going back to the 19th century (such as the minimal model program), as well as on the development of new tools and techniques (for example the extension of Givental?s formalism to the world of stacks). This broad and active field is widely represented in the Western United States. The speakers at WAGS this fall represent a broad spectrum of research in the field and a good mix of established figures and young active researchers. The organizers expect that the conference at UCLA will continue to facilitate the development of the algebraic geometry community in the Western United States.

2009年10月24日至25日，西部代数几何研讨会（WAGS）将在加利福尼亚大学洛杉矶分校见面。 WAGS是在美国和加拿大西部的各个机构举行的周末会议，包括犹他州，斯坦福大学，不列颠哥伦比亚大学，加利福尼亚大学伯克利分校，科罗拉多州立大学，华盛顿大学以及科罗拉多大学和亚利桑那大学。 研讨会的源头追溯到犹他州 - 乌卡克拉（Utah-Ucla）代数几何研讨会，由H. Clemens，D。Gieseker，M。Green，J。Kollar和R. Lazarsfeld于1989年开始。 自2002年以来，以其当前形式的货物进行了运行，每个摇车都有50多名参与者。对于UCLA-WAGS来说，目前有55名注册研究生，大约有30名教职员工。Wags在我们西部的西部建立了一个充满活力的代数几何社区。 它为研究人员提供了一种在更广泛的地理区域相互联系的重要方法。 这在西方尤其重要，因为许多代数几何图形者在＆＃64257; eld中唯一的部门成员，而美国西部研究机构之间的地理距离意味着它们可以相对孤立。 WAG的一个关键特征是，它为他们提供了一个机会，可以让他们聚在一起，听到一个学期的研讨会，同样重要的是，彼此之间以及与年轻的研究人员相遇。 研究生有机会与高级教师会面，并比他们只与顾问交谈，对＆＃64257； 瓦格的成功得到了以下事实的强调：目前，世界各地的许多人都通过瓦格斯系统（Wags System）出现了＆＃64257; eld of the＆＃64257; eld of＆＃64257；这位秋天的演讲者将讨论他们在代数几何学领域的研究。 代数几何形状涉及代数方程的解决方案集，并且长期以来一直是数学中的核心主题，与现代数学的几乎各个方面都具有深厚而实质性的联系。 除了与附近的自然互动之外？数学＆＃64257;诸如数字理论，符号几何，拓扑结构和交换代数，令人兴奋的连接最近在代数几何形状之间出现了，显然是吗？外国？包括数学物理学，生物学，数字通信和机器人技术在内的领域。使用多种技术工具，有许多DI＆＃64256;用于代数几何学研究的方法；交换代数，复杂分析，捆式理论，共同方法和组合技术都起着重要作用。代数几何形状仍然是一个非常活跃的研究领域。最近的一年特别令人兴奋，因为Signi＆＃64257;无法取得进步吗？根部可以追溯到19世纪的问题（例如最小模型计划），以及新工具和技术的开发（例如，将赠送的形式主义扩展到堆栈世界）。 这种广泛而活跃的＆＃64257; ELD在美国西部广泛代表。 今年秋天，WAGS的演讲者代表了该领域的广泛研究，并融合了已建立的人物和年轻的活跃研究人员。组织者预计，加州大学洛杉矶分校的会议将继续促进美国西部代数几何社区的发展。