Western Algebraic Geometry Seminar - Five Year Plan

西部代数几何研讨会(WAGS)是一个关于代数几何的周末会议，每年在美国和加拿大西部地区的不同机构举行两次，包括犹他州、斯坦福大学、不列颠哥伦比亚省、伯克利、科罗拉多州、华盛顿州和现在的科罗拉多州和亚利桑那州。WAGS在西方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方式。WAGS的一个重要特点是，它为代数几何学者提供了一个机会，让他们齐聚一堂，听取相当于一学期的研讨会。年轻的研究人员和研究生有机会与资深教员见面，并对老年人有更广泛的了解。世界上许多目前领导代数几何领域的人都是通过世界代数几何系统发展起来的，这一事实突显了世界代数几何研究发展的相关性。代数几何涉及代数方程的解集，长期以来一直是数学中的一个中心学科，与现代数学的几乎每个方面都有着深刻而实质性的联系。除了与邻国的自然互动之外？数学领域，如数论、辛几何、拓扑学和交换代数，最近在代数几何和显然是外国的？之间出现了令人兴奋的联系。包括数学物理、生物、数字通信和机器人等领域。有许多不同的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发挥着重要作用。WAGS的演讲者被选为代表该领域广泛研究的代表，以及知名人物和年轻活跃的研究人员的良好组合。WAGS的一个目标当然是在代数几何社区内分享新的研究成果，并鼓励新的联系和研究合作。

Western Algebraic Geometry Seminar (WAGS) is a weekend conference on algebraic geometry held twice a year at various institutions in the western region of the United States and Canada, including Utah, Stanford , British Columbia, Berkeley, Colorado State, Washington and now Colorado and Arizona. WAGS has been instrumental in building a vibrant algebraic geometry community in the West. It provides an important way for researchers to connect to one another in the broader geographical area. A crucial feature of WAGS is that it provides an opportunity for algebraic geometers to come together and hear a semesters worth of seminars. Young researchers and graduate students get the opportunity to meet senior faculty, and to get a broader sense of the field. The relevance of WAGS in the development of research in algebraic geometry 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. 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. The speakers at WAGS are chosen to represent a broad spectrum of research in the field and a good mix of established figures and young active researchers. A goal of WAGS is certainly to share new research result within algebraic geometry community and to encourage new connections and research collaborations.