Workshop on Recent Advances in Topological and Measure-Theoretic Methods in Dynamical Systems; North Bay, Ontario

尼皮辛大学将举办一个关于动力系统拓扑和测量理论方法的最新进展的研讨会，以便将这些领域的研究人员和学生聚集在一起，进行为期五天的系列讲座和研讨会。该研讨会将由美国国家科学基金会和加拿大菲尔兹研究所联合支持，并将在尼皮辛？2010年5月17日至22日，在加拿大安大略省北湾的美国大学校园。研讨会的科学重点将是动力系统中拓扑和测量理论方法的最新发展。高级研究人员将与与会者（包括研究生、博士后和最近获得博士学位的研究人员）分享重点领域的基础研究技术和最新成果。James Yorke（马里兰大学），Mariusz Urbanski（北德州大学），Michael Yampolsky（多伦多大学）和Vladimir Pestov（渥太华大学）是主要的演讲者。主题包括吸引子的拓扑和测度理论性质，盆地边界，有理和全映射的Julia集，流形上的最小映射，以及无限维群的动力学。动力系统、拓扑学和测量理论的数学研究领域长期以来有重要的重叠领域，并且研究人员在这些领域工作并相互借鉴工具的传统持续存在。在过去的25年中，有许多发展增加了拓扑学、动力系统和测量理论之间的相互作用。美国国家科学基金会的支持将用于使至少10名美国学生和最近的博士参加研讨会。研讨会将为新近训练的专业数学家和学生提供机会，为当前发展迅速的领域的研究做准备，这些领域是拓扑、测量理论和动力系统的交叉点。我们选择了在这些研究领域活跃的具有国际声誉的主要演讲者。本项目由拓扑学项目和分析项目共同资助。

Nipissing University will offer a Workshop on Recent Advances in Topological and Measure-Theoretic Methods in Dynamical Systems in order to bring researchers and students in these areas together for a five-day series of talks and seminars. The workshop will be jointly supported by the US National Science Foundation and the Fields Institute of Canada, and will be held at Nipissing?s campus in North Bay, Ontario, Canada, May 17-22, 2010. The scientific focus of the workshop will be on recent developments in topological and measure-theoretic methods in dynamical systems. Senior researchers will share fundamental research techniques, and recent results, in the areas of focus with attendees, including graduate students, post-doctoral students, and researchers that have recently received the PhD. James Yorke (U. of Maryland), Mariusz Urbanski (North Texas State U.), Michael Yampolsky (U. of Toronto), and Vladimir Pestov (U. of Ottawa) art among the principal speakers. Topics include topological and measure-theoretic properties of attractors, basin boundaries, and Julia sets of rational and entire maps, minimal maps on manifolds, and dynamics of infinite-dimensional groups. The mathematics research fields of dynamical systems, topology, and measure theory have long had significant areas of overlap, and a continuing tradition of researchers working across these fields, and borrowing tools from each other. Over the last 25 years, there have been many developments that have increased the interaction among topology, dynamical systems, and measure theory. NSF support will be used to enable at least 10 US-based students and recent PhDs to attend the workshop. The workshop will provide the opportunity for recently trained professional mathematicians and students to prepare for research in areas in which current developments are moving rapidly at the intersection point of topology, measure theory, and dynamical systems. Major speakers with international reputations have been selected who are active in these research areas.This project is jointly funded by the Topology Program and the Analysis Program.