Conference Travel: Automorphisms of Free Groups: Algorithms, Geometry and Dynamics

会议旅行：自由群的自同构：算法、几何和动力学

• 批准号: 1207738
• 负责人: Mladen Bestvina
• 金额: $ 3.36万
• 依托单位: University of Utah
• 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: 2012-07-01 至 2013-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1207738&HistoricalAwards=false
• 关键词: Conference; Travel; Automorphisms; Free; Groups

During Fall 2012 there will be a semester-long special program entitled "Free Groups: Algorithms, Geometry and Dynamics" held at the Centre de Recerca Matemàtica (CRM) in Barcelona, Spain. There will be two focused events, (1) a series of advanced courses primarily aimed at graduate students and postdocs tentatively set for the week of September 17-21 and (2) an international conference tentatively set for the week of November 26-30. There has been lately a flurry of activity surrounding the group of outer automorphisms of a free group. During this exciting time in its development, the advanced courses will be aimed to attract future researchers, and to prepare them to attend the subsequent international conference. Postdocs and more advanced graduate students will also be invited to give presentations on their own work. The international conference will bring together many of the top experts, primarily from North America and Europe, to give talks on their research, to share ideas, and to initiate new projects.Humans are naturally attracted to symmetry, be it a regular hexagonal pattern in a honeycomb, a clever rhyme scheme of a poem or the beautiful tilings in the Alhambra. The symmetries of an object are often the first properties we look for when we encounter something for the first time and try to understand it. A group is a mathematician?s way of defining and thinking about symmetry. Just as a thorough investigation of the integers is important to understand the rational numbers because every rational number is the quotient of two integers, a thorough investigation of free groups is important to understand groups because every group is the quotient of two free groups. Symmetries of free groups are the focus of this international conference and the of advanced courses. Leading mathematicians will be at the conference to discuss current progress in this area and to train younger researchers. Instructors for the advanced courses will prepare notes that will be bounded and subsequently published. More information can be found at the website for the CRM http://www.crm.es and at the conference webiste http://www.crm.es/Activitats/Activitats/2012-2013/Automorphisms/default.htm

在2012年秋季将有一个学期的特别节目题为“自由群体：算法，几何和动力学”在中心德Recerca Matemàtica（CRM）在巴塞罗那举行，西班牙。 将有两个重点活动，（1）主要针对研究生和博士后的一系列高级课程，暂定为9月17日至21日的一周，以及（2）暂定为11月26日至30日的一周的国际会议。 最近围绕自由群的外自同构群有一系列的活动。在其发展的这一激动人心的时刻，高级课程将旨在吸引未来的研究人员，并为他们参加随后的国际会议做好准备。博士后和更先进的研究生也将被邀请给自己的工作介绍。 这次国际会议将汇集许多主要来自北美和欧洲的顶级专家，就他们的研究发表演讲，分享想法，并启动新的项目。人类天生就会被对称所吸引，无论是蜂窝中规则的六边形图案，一首诗的巧妙押韵方案，还是阿尔汉布拉中美丽的瓷砖。当我们第一次遇到某个事物并试图理解它时，物体的对称性往往是我们首先寻找的属性。定义和思考对称性的方法。正如整数的彻底研究对于理解有理数很重要，因为每个有理数都是两个整数的商，自由群的彻底研究对于理解群很重要，因为每个群都是两个自由群的商。 自由群的对称性是这次国际会议和高级课程的重点。 领先的数学家将在会议上讨论这一领域的最新进展，并培养年轻的研究人员。 高级课程的教师将准备笔记，这些笔记将被装订并随后出版。 更多信息可以在CRM网站http://www.crm.es和会议网站http://www.crm.es/Activitats/Activitats/2012-2013/Automorphisms/default.htm上找到