The 10th Brauer Group Meeting

第十次布劳尔小组会议

• 批准号: 1214939
• 负责人: Kelly McKinnie
• 金额: $ 2.12万
• 依托单位: University of Montana
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2012
• 资助国家: 美国
• 起止时间: 2012-06-01 至 2013-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1214939&HistoricalAwards=false
• 关键词: 10th; Brauer; Group; Meeting

The 10th Brauer Group Meeting is a conference that will be held Monday - Friday, August 6 - August 10, 2012 at the Pingree Park campus of Colorado State University. This location is approximately one hour outside of Ft. Collins, CO, USA. The Brauer group is an abstract algebraic group studied by mathematicians with a wide variety of interests. Algebraists often study the Brauer group in its role as a directory of division algebras over a field, ultimately with the goal of understanding arithmetic complexity in fields. Open questions relate to simplicity of description, expression in terms of cyclic classes, and the search for a reasonable definition of dimension for fields and for algebraic groups such as PGL(n). Algebraic geometers study the Brauer group as an important invariant of a scheme arising from etale cohomology. This point of view goes back to the 1960's and Grothendieck, who suggested problems that are still actively being investigated. Recently deep connections have arisen between Brauer groups of schemes and stack theory, and these are being used not only to attack some longstanding open problems, but to serve as inspiration for new problems and approaches. The primary goal of this conference is to bring together established and beginning researchers from all of these perspectives to collaborate and share insights on problems of interest involving the Brauer group in its many forms. The conference will serve to both unify viewpoints and diversify methods, and will yield not only progress on problems and increased levels of collaboration, but the initiation of new researchers into the Brauer groups community. Formal talks will be given by senior level researchers as well as by young researchers, including graduate students, post-docs and young faculty. Time will also be allotted for informal collaboration and open problem sessions in hopes of encouraging new research questions and collaborations. Information about the conference and titles and abstracts for the talks will be posted at http://www.math.uga.edu/$\sim$dkrashen/Brauer2012/

第10届布劳尔小组会议是一个会议，将于周一至周五，2012年8月6日至8月10日在科罗拉多州立大学的平里公园校区举行。 这个位置是大约一个小时外的英尺。柯林斯，USA. Brauer群是一个抽象的代数群，数学家们对它有着广泛的兴趣。代数学家经常研究布劳尔群作为域上除代数的目录，最终的目标是理解域中的算术复杂性。开放的问题涉及到简单的描述，表达方面的循环类，并寻求一个合理的定义维度领域和代数群，如PGL（n）。代数几何学家研究布劳尔群作为一个重要的不变量的计划所产生的etale上同调。这一观点可以追溯到20世纪60年代和格罗滕迪克，他提出的问题仍在积极研究中。最近，Brauer群的方案和栈理论之间出现了深刻的联系，这些联系不仅被用来解决一些长期存在的开放问题，而且还被用来启发新的问题和方法。 本次会议的主要目标是汇集来自所有这些观点的已建立和开始的研究人员，就涉及Brauer集团的各种形式的感兴趣的问题进行合作和分享见解。这次会议将有助于统一观点和多样化的方法，不仅会产生问题的进展和提高合作水平，但新的研究人员进入布劳尔集团社区的启动。高级研究人员和年轻研究人员（包括研究生、博士后和年轻教师）将进行正式会谈。 时间也将分配给非正式合作和开放问题会议，希望鼓励新的研究问题和合作。 有关会议的信息以及讲座的标题和摘要将在http：//www.math.uga.edu/$\sim$dkrashen/Brauer 2012/