Western Algebraic Geometry Seminar - Fall 2009

2009年10月24日和25日，西方代数几何研讨会（WAGS）将在加州大学洛杉矶分校举行。WAGS是一个每年两次的周末会议，在美国西部和加拿大的不同机构举行，包括犹他大学、斯坦福大学、英属哥伦比亚大学、加州大学伯克利分校、科罗拉多州立大学、华盛顿大学以及现在的科罗拉多大学和亚利桑那大学。该研讨会的起源可以追溯到1989年由H. Clemens， D. Gieseker， M. Green， J. Kollar和R. Lazarsfeld发起的犹他-加州大学洛杉矶分校代数几何研讨会。目前的WAGS从2002年开始运作，每个WAGS都有超过50个参与者。对于加州大学洛杉矶分校- wags，目前有55名注册研究生，大约有30名教职员工参与。WAGS在美国西部建立一个充满活力的代数几何社区方面发挥了重要作用。它为研究人员在更广泛的地理区域内相互联系提供了重要的途径。这在西方尤其重要因为许多代数几何学者是他们所在系的唯一成员美国西部的研究机构之间的地理距离意味着它们可以相对孤立。WAGS的一个关键特点是，它为他们提供了一个机会，让他们聚在一起，听取一个学期的研讨会，同样重要的是，他们彼此之间以及与年轻的研究人员进行了详细的交流。研究生有机会与资深教师见面，并对学校有更广泛的了解。比他们只和他们的导师交谈所得到的要多。WAGS的成功被一个事实所强调，那就是世界上许多人目前都在领导着这一活动。代数几何的许多领域都是通过WAGS系统产生的。今年秋天的演讲者将讨论他们在代数几何领域的研究。代数几何涉及代数方程的解集，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深刻而实质性的联系。超越了与？邻居？数学,# 64257;在诸如数论、辛几何、拓扑学和交换代数等领域，代数几何和明显的“外来”几何之间出现了令人兴奋的联系。领域包括数学物理、生物学、数字通信和机器人。有许多di&amp；#64256；事件方法来研究代数几何，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起着重要的作用。代数几何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，因为意义重大&amp；就不能在古典音乐上取得进展吗？问题的根源可以追溯到19世纪（如最小模型程序），以及新工具和技术的发展(例如Givental？S的形式主义到堆栈的世界)。这个宽广而活跃的&amp；#64257；eld在美国西部广泛存在。今年秋天WAGS的演讲者代表了该领域广泛的研究领域，既有知名人士，也有年轻活跃的研究人员。组织者期望在加州大学洛杉矶分校举行的会议将继续促进美国西部代数几何社区的发展。

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.