The 12th Brauer Group Meeting

第12届布劳尔集团会议将于2015年6月8日至12日周一至周五在科罗拉多州立大学平树公园校区举行。该地点距离福特堡大约一小时车程。美国科林斯，科林斯在第12次布劳尔小组会议上，高级研究人员以及年轻研究人员将进行正式演讲，包括研究生、博士后和年轻教职员工。这次会议的主要目的是聚集已有的和刚起步的研究人员，就涉及Brauer群的各种形式的感兴趣的问题进行合作并分享见解。Brauer群是一个抽象的代数群，由具有广泛兴趣的数学家研究。代数学家经常研究Brauer群的作用，它是域上除法代数的目录，最终目的是了解域中的算术复杂性。悬而未决的问题涉及描述的简单性、用循环类表示以及为域和诸如PGLn的代数群寻找合理的维度定义。代数几何学家将Brauer群作为上同调所产生的方案的一个重要不变量来研究。这种观点可以追溯到20世纪60年代的S和格罗森迪克，他们提出的问题仍在积极调查中。最近，布劳尔方案组和堆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悬而未决的问题，而且被用来启发新的问题和方法。有关更多信息，请参见会议的网站：http://torsor.github.io/brauer/

The 12th Brauer Group Meeting will be held Monday - Friday, June 8 -12, 2015 at the Pingree Park campus of Colorado State University. This location is approximately one hour outside of Ft. Collins, CO, USA. At the 12th Brauer group meeting formal talks will be given by senior level researchers as well as by young researchers, including graduate students, post-docs and young faculty. The primary goal of this conference is to bring together established and beginning researchers to collaborate and share insights on problems of interest involving the Brauer group in its many forms.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 PGLn. 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.For more information see the conference web-site: http://torsor.github.io/brauer/