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日和25日，西部代数几何研讨会（WAGS）将在加州大学洛杉矶举行。WAGS是一个周末会议，每年在美国西部和加拿大的各个机构举行两次，包括犹他州大学，斯坦福大学，不列颠哥伦比亚省大学，加州大学伯克利分校，科罗拉多州立大学，华盛顿大学，现在是科罗拉多大学和亚利桑那大学。 该研讨会的根源可以追溯到Utah-UCLA代数几何研讨会于1989年由H。Clemens，D. Gieseker，M.绿色，J. Kollar和R.拉扎斯菲尔德 目前的WAGS自2002年以来一直在运行，每个WAGS都有50多名参与者。对于UCLA-WAGS，目前有55名注册研究生，有大约30名教师参与。WAGS在美国西部建立了一个充满活力的代数几何社区。 它为研究人员在更广泛的地理区域内相互联系提供了一种重要方式。 这是特别重要的是在西方，因为许多代数geometers有唯一的成员，他们的部门在#64257;领域，和地理距离之间的研究机构在美国西部意味着他们可以相对孤立。 WAGS的一个重要特点是，它为他们提供了一个机会，让他们走到一起，听一个学期的研讨会，同样重要的是，在长度与对方和年轻的研究人员见面。 研究生有机会与资深教师见面，并获得比只与导师交谈更广泛的老年感。 WAGS的成功是由世界各地的许多人目前领导fi代数几何领域已经通过WAGS系统出现。今年秋天的演讲者将讨论他们在代数几何领域的研究。 代数几何关注代数方程的解集，长期以来一直是数学的中心学科，与现代数学的几乎每个方面都有着深刻而实质性的联系。 超越自然的互动？邻居？数学fi领域，如数论，辛几何，拓扑学和交换代数，令人兴奋的连接最近出现之间的代数几何和显然？外国人？包括数学物理学、生物学、数字通信和机器人技术。有许多的di& #64256;研究代数几何的各种方法，利用各种各样的技术工具;交换代数，复分析，层理论，上同调方法和组合技术都发挥着重要作用。代数几何仍然是一个非常活跃的研究领域。最近一年特别令人兴奋，因为在这方面取得了重大进展？古典音乐？问题的根源可以追溯到19世纪（如最小模型程序），以及对新工具和技术的发展（例如扩展吉文塔尔？的形式主义到堆栈的世界）。 这一广泛而活跃的领域在美国西部广泛存在。 今年秋季WAGS的演讲者代表了该领域广泛的研究，以及成熟人物和年轻活跃研究人员的良好组合。组织者希望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。