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

Nipissing大学将举办一个关于动力学系统中拓扑学和测度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，进行为期五天的一系列讲座和研讨会。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，将于2010年5月17日至22日在加拿大安大略省北湾的尼皮辛？S校区举行。研讨会的科学重点将放在动力系统中拓扑学和测量论方法的最新发展上。资深研究人员将与与会者分享重点领域的基础研究技术和最新成果，包括研究生、博士后和最近获得博士学位的研究人员。詹姆斯·约克(马里兰大学)、马里乌斯·乌尔班斯基(北得克萨斯州立大学)、迈克尔·扬波斯基(多伦多大学)和弗拉基米尔·佩斯托夫(渥太华大学)艺术是主要演讲者。主题包括吸引子的拓扑学和测度论性质，盆地边界，有理映射和整映射的Julia集，流形上的极小映射，以及无限维群的动力学。长期以来，动力系统、拓扑学和测度论等数学研究领域一直存在显著的重叠领域，研究人员在这些领域工作并相互借用工具的持续传统。在过去的25年里，有许多发展增加了拓扑学、动力系统和测度论之间的相互作用。NSF的支持将用于使至少10名美国学生和新近获得博士学位的学生能够参加研讨会。该研讨会将为最近培训的专业数学家和学生提供机会，为在拓扑学、测量理论和动力系统的交叉点上当前发展迅速的领域的研究做准备。具有国际声誉的主要演讲者已经被选中，他们活跃在这些研究领域。这个项目由拓扑学计划和分析计划联合资助。

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.