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

该奖项支持参加2015年11月9日至11月12日在德克萨斯州大学举行的题为“群论和动力系统中的几何和概率方法”的会议。几何、拓扑和概率方法常用于群和动力系统的研究。会议将为所有与会者提供一个机会，以便同时了解所有这五个组成部分(几何、拓扑学、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人参加，他们将发表16场特邀演讲和45场贡献演讲。至少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提出。参与者的混合，从世界上一些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健康的交流和合作。与在群论和动力系统中使用几何和/或概率方法有关的丰富思想和应用是巨大的，它实际上触及了数学的所有其他领域。群论和动力系统中许多重要的公开问题本质上都与渐近、几何、解析或概率概念有关。会议将展示与这类问题相关的最新进展和成果，并将为在不同领域的进一步研究提供强劲的动力和方向，如顺从性、虚拟Haken猜想、CAT(0)立方体复形、随机群和随机子群、Borel等价关系和代价、SOFIC群、区间交换群、迭代单向群等。会议日程和摘要可在http://www.math.tamu.edu/~sunik/conf/15tamu/上找到

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/