Conference on Geometric and Probabilistic Methods in Group Theory and Dynamical Systems; College Station, Texas, - November 9-12, 2015

群论和动力系统中的几何和概率方法会议；

• 批准号: 1555792
• 负责人: Zoran Sunik
• 金额: $ 2.9万
• 依托单位: Texas A&M University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2015
• 资助国家: 美国
• 起止时间: 2015-11-01 至 2016-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1555792&HistoricalAwards=false
• 关键词: Conference; Geometric; Probabilistic; Methods; Group

This award supports participation in a conference entitled "Geometric and Probabilistic Methods in Group Theory and Dynamical Systems," held from November 9 to November 12, 2015, in College Station, TX, on the campus of Texas A&M University. Geometric, topological, and probabilistic methods are often used in the study of groups and dynamical systems. The conference will provide an opportunity to all participants to keep abreast of recent developments simultaneously in all five of these components (geometry, topology, probability, group theory, dynamics), with special emphasis on their interplay. There will be close to 100 participants, who will present 16 invited talks and 45 contributed talks. At least half of the contributed talks will be presented by researchers in early stages of their careers and graduate students. The mixture of participants, ranging from some of the world's most established researchers to postdocs and graduate students, will provide a sense of community and continuity. The conference, blending research and education, will stimulate healthy communication flow and collaboration between researchers in different areas and in different generations for years to come.The wealth of ideas and applications related to the use of geometric and/or probabilistic approaches in group theory and dynamical systems is immense, and it practically touches all other areas in mathematics. Many important open problems in group theory and dynamical systems are essentially related to asymptotic, geometric, analytic or probabilistic concepts. The conference will showcase the recent advances and achievements related to such problems and it will provide strong momentum and set directions for further research in such diverse areas as amenability, virtual Haken conjecture, CAT(0) cube complexes, random groups and random subgroups, Borel equivalence relations and cost, sofic groups, interval exchange groups, iterated monodromy groups, and many others. The conference schedule and abstracts can be found at http://www.math.tamu.edu/~sunik/conf/15tamu/

该奖项支持参加题为“群体理论和动力系统中的几何和概率方法”的会议，该会议于2015年11月9日至11月12日在德克萨斯州大学城举行，位于德克萨斯州a&m大学校园内。几何、拓扑和概率方法经常用于群体和动力系统的研究。会议将为所有与会者提供一个机会，让他们同时了解这五个组成部分（几何、拓扑、概率论、群论、动力学）的最新发展，并特别强调它们之间的相互作用。将有近100名与会者，他们将进行16场邀请演讲和45场贡献演讲。至少有一半的演讲将由处于职业生涯早期阶段的研究人员和研究生发表。参与者的混合，从一些世界上最知名的研究人员到博士后和研究生，将提供一种社区和连续性的感觉。这次会议融合了研究和教育，将在未来几年促进不同领域和不同世代的研究人员之间的健康交流和合作。关于在群论和动力系统中使用几何和/或概率方法的思想和应用的财富是巨大的，它实际上涉及数学的所有其他领域。群论和动力系统中许多重要的开放问题本质上与渐近、几何、解析或概率概念有关。会议将展示与这些问题相关的最新进展和成果，并将为在可操作性、虚拟哈肯猜想、CAT(0)立方复合体、随机群和随机子群、Borel等价关系和成本、sofic群、区间交换群、迭代单群等不同领域的进一步研究提供强大的动力和方向。会议日程安排和摘要可在http://www.math.tamu.edu/~sunik/conf/15tamu/上找到