Workshop on Recent Advances in General Topology, Dimension Theory, Continuum Theory and Dynamical Systems

一般拓扑、维度理论、连续介质理论和动力系统最新进展研讨会

• 批准号: 1212436
• 负责人: John Mayer
• 金额: $ 2.31万
• 依托单位: University of Alabama at Birmingham
• 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: 2012-04-15 至 2014-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1212436&HistoricalAwards=false
• 关键词: Workshop; Recent; Advances; General; Topology

Workshop on Recent Advances in General Topology, Dimension Theory, Continuum Theory and Dynamical Systems Nipissing University, North Bay, Ontario will offer a Workshop on Recent Advances in General Topology, Dimension Theory, Continuum Theory, and Dynamical Systems in order to bring senior and junior researchers and students in these areas together for a five-day series of talks and seminars. The workshop will be held at Nipissing University campus in North Bay, May 17-22, 2012. It will be jointly supported by the National Science Foundation and the Fields Institute of Canada. The scientific focus of the workshop will be on recent advances in topology, including dimension theory and continuum theory, and dynamical systems. Senior researchers will share fundamental research techniques and recent results with attendees, including post-doctoral, graduate and advanced undergraduate students, and junior researchers who received the PhD within the last 6 years. Among other topics, recent results on the topology of buried points in Julia sets, the solution of Lelek's problem on the span of continua, and extending isotopies of plane continua, all of which have application in both topology and dynamical systems, will be discussed. Dynamical systems uses tools from many areas of mathematics, and motivates these same areas by raising questions, both fundamental and applied. In the workshop, students and junior researchers, whose focus on the way to a PhD has necessarily often been narrow, will be exposed to research techniques and results that draw from multiple sources. The areas of topology, dimension theory, and dynamical systems traditionally have experienced overlapping research interests, but it is somewhat daunting for students to acquire the background needed to work in the overlap. NSF support will enable at least 10 US-based students and junior researchers to attend the workshop and expand their research horizons. Major speakers with international reputations are being selected who are active in these research areas. The format of the workshop is designed to maximize the opportunities for interaction among the participants beyond the lectures. Time is provided in the workshop schedule for both formal talks and informal interactions among the junior and senior participants, including every afternoon an informal question and answer session for the students and junior researchers with the day's speakers. The links formed are likely to have continuing impact on the research direction of both junior and senior participants. url: http://www.nipissingu.ca/topology

安大略省北湾尼皮辛大学将举办一个关于一般拓扑、维度理论、连续统理论和动力系统的最新进展的研讨会，以便将这些领域的高级和初级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。研讨会将于2012年5月17日至22日在北湾尼皮辛大学校园举行。它将由美国国家科学基金会和加拿大菲尔兹研究所共同支持。研讨会的科学重点将放在拓扑学的最新进展上，包括维数理论和连续统理论，以及动力系统。高级研究人员将与与会者分享基础研究技术和最新成果，包括博士后、研究生和本科生，以及最近6年内获得博士学位的初级研究人员。在其他主题中，将讨论Julia集合中埋藏点拓扑的最新结果，连续空间上Lelek问题的解，以及平面连续空间的扩展同位素，所有这些在拓扑和动力系统中都有应用。动力系统使用了许多数学领域的工具，并通过提出基础和应用方面的问题来激励这些领域。在研讨会上，学生和初级研究人员将接触到来自多种来源的研究技术和结果，他们对获得博士学位的关注往往是狭隘的。传统上，拓扑学、维数理论和动力系统领域有着重叠的研究兴趣，但对于学生来说，获得在重叠领域工作所需的背景知识有些令人生畏。NSF的支持将使至少10名在美国的学生和初级研究人员能够参加该研讨会并扩大他们的研究视野。正在挑选活跃于这些研究领域的具有国际声誉的主要演讲者。研讨会的形式旨在最大限度地提高参与者在讲座之外的互动机会。在研讨会的日程安排中，有时间在初级和高级参与者之间进行正式谈话和非正式互动，包括每天下午为学生和初级研究人员提供与当天演讲者的非正式问答环节。形成的联系可能会对初级和高级参与者的研究方向产生持续的影响。url: http://www.nipissingu.ca/topology