The 12th Brauer Group Meeting

第12届Brauer小组会议将于2015年6月8日至12日（周一至周五）在科罗拉多州立大学Pingree Park校区举行。该地点距离美国柯林斯堡约一小时车程。在第12届Brauer小组会议上，资深研究人员和年轻研究人员（包括研究生、博士后和年轻教师）将进行正式的会谈。本次会议的主要目标是将成熟的和刚起步的研究人员聚集在一起，就各种形式的Brauer小组感兴趣的问题进行合作和分享见解。布劳尔群是一个抽象的代数群，被兴趣广泛的数学家所研究。代数学者经常研究Brauer群作为域上除法代数的目录的作用，最终目的是理解域中的算术复杂性。开放的问题涉及到描述的简单性，循环类的表达式，以及对域和代数群（如PGLn）的维的合理定义的搜索。代数几何学者将Brauer群作为一个重要的不变量来研究由上同调引起的方案。这种观点可以追溯到20世纪60年代和格罗滕迪克，他提出的问题仍在积极调查中。最近，Brauer方案组和堆栈理论之间出现了深刻的联系，这些联系不仅用于解决一些长期存在的开放性问题，而且还为新问题和新方法提供了灵感。欲了解更多信息，请参阅会议网站：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/